Finite Group Databasebeta

← #11025292

Subgroups — #11025292

Order 768.

2774 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5562C211yesmaximal, characteristic, complemented
2C22×#883C211yesmaximal, characteristic, complemented
3C3×#2358C211yesmaximal, characteristic, complemented
4#82588C211yesmaximal, characteristic, complemented
5#82586C211yesmaximal, characteristic, complemented
6#82412C211yesmaximal, characteristic, complemented
7#82404C211yesmaximal, characteristic, complemented
8#82352C211yesmaximal, characteristic, complemented
9#82127C211yesmaximal, characteristic, complemented
10#82109C211yesmaximal, characteristic, complemented
11#82107C211yesmaximal, characteristic, complemented
12#76460C211yesmaximal, characteristic, complemented
13#76316C211yesmaximal, characteristic, complemented
14#75901C211yesmaximal, characteristic, complemented
15#75861C211yesmaximal, characteristic, complemented
16#75688C211yesmaximal, characteristic, complemented
17#75683C211yesmaximal, characteristic, complemented
18#74935C211yesmaximal, characteristic, complemented
19#74929C211yesmaximal, characteristic, complemented
20#74915C211yesmaximal, characteristic, complemented
21#74913C211yesmaximal, characteristic, complemented
22#74817C211yesmaximal, characteristic, complemented
23#74702C211yesmaximal, characteristic, complemented
24#74605C211yesmaximal, characteristic, complemented
25#74524C211yesmaximal, characteristic, complemented
26#74522C211yesmaximal, characteristic, complemented
27#74442C211yesmaximal, characteristic, complemented
28#73591C211yesmaximal, characteristic, complemented
29#73571C211yesmaximal, characteristic, complemented
30C4×#882C211yesmaximal, characteristic, complemented
31#73461C211yesmaximal, characteristic, complemented
32#37714—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#938C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic, complemented
53C2×#929C2211yescharacteristic, complemented
54C2×#929C2211yescharacteristic, complemented
55C2×C4×#67C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic
57C22×C4⋊Dic3C2211yescharacteristic
58C22×Dic3⋊C4C2211yescharacteristic
59#5562—28no—
60C2×#895C2211yescharacteristic, complemented
61C2×#890C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic, complemented
65C2×#883—28no—
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic
71C2×#883C2211yescharacteristic
72C2×#883C2211yescharacteristic
73C2×#883C2211yescharacteristic
74C2×#883C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic, complemented
79C2×C4×D12C2211yescharacteristic, complemented
80C2×#872C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic
88C3×#385C2211yescharacteristic, complemented
89C3×C4×C22⋊C4C2211yescharacteristic
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5221C2211yescharacteristic, complemented
96#5220C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5212C2211yescharacteristic, complemented
103#5211C2211yescharacteristic, complemented
104#5210C2211yescharacteristic
105#5210C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4993C2211yescharacteristic, complemented
110#4992C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4958C2211yescharacteristic
134#4958C2211yescharacteristic
135#4958C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4955C2211yescharacteristic
144#4952C2211yescharacteristic, complemented
145#4952C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4950C2211yescharacteristic
148#4950C2211yescharacteristic
149#4949C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4939C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
163#4933C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4671C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4650C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#123—31no—
192#2847—31no—
193#2709—31no—
194#2707—31no—
195#2706—31no—
196#2706—31no—
197#2703—31no—
198#2701—31no—
199#2673—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2473—31no—
204#2471—31no—
205#2464—31no—
206#2457—31no—
207#2445—31no—
208#2443—31no—
209#2433—31no—
210#2424—31no—
211#2424—31no—
212#2424—31no—
213#2418—31no—
214#2416—31no—
215#2412—31no—
216#2410—31no—
217#2358D311yescharacteristic, complemented
218#2352—31no—
219#2335—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67—24no—
232C22×#67—42no—
233C22×#67—42no—
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
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3—24no—
257C22×C4×D3—42no—
258C22×C4×D3—42no—
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C3×#120—24no—
266C3×C4×D4—24no—
267C3×C4×D4—42no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4—24no—
272C2×C3×C22⋊C4—42no—
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290#953—42no—
291#953—42no—
292C2×#217—24no—
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307#940—24no—
308#940—42no—
309#939—42no—
310#939—42no—
311#938—24no—
312#937—42no—
313#930—24no—
314#930—24no—
315#930—42no—
316#930—42no—
317#929—24no—
318#929—24no—
319C4×#67—42no—
320C2×(C2×D3)⋊C4—24no—
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⋊Dic3—24no—
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×Dic3⋊C4—24no—
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#895—24no—
379#890—24no—
380#884—24no—
381#884—24no—
382#884—42no—
383#883—24no—
384#883—24no—
385#883—24no—
386#883—24no—
387#883—24no—
388#883—24no—
389#883—24no—
390#883—24no—
391#883D418yescomplemented
392#882—24no—
393#882—42no—
394#67⋊C4—24no—
395C4×D12—24no—
396C4×D12—42no—
397#872—24no—
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C24×C4—31no—
428#540—68no—
429C2×#127—31no—
430C2×#127—31no—
431C2×#125—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×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—68no—
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×#120C2×D311yescharacteristic
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4C2×D311yescharacteristic
466C2×C4×D4C2×D311yescharacteristic, complemented
467C2×#117—31no—
468C22×C4⋊C4—31no—
469C22×C4⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4C2×D311yescharacteristic
473C22×C22⋊C4C2×D311yescharacteristic
474#400—31no—
475#399—31no—
476#399—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#398—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—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#392—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#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic, complemented
521#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388C2×D311yescharacteristic, complemented
532#388C2×D311yescharacteristic, complemented
533#387—31no—
534#387—31no—
535#387—31no—
536#387—31no—
537#387—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#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic, complemented
558#386C2×D311yescharacteristic, complemented
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385C2×D311yescharacteristic
567#385C2×D311yescharacteristic, complemented
568#382—31no—
569#381—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4C2×D311yescharacteristic
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
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—22no—
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—416no—
682C2×#67C2×D414yes—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—416no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3C2×D414yes—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
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—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4C2×D414yes—
754C3×C22⋊C4#4114yes—
755C3×C42—22no—
756C3×C42—41no—
757C3×C42—41no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217C2×D414yes—
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—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
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)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4C2×D414yes—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—22no—
804C4⋊Dic3—22no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808C4⋊Dic3C2×D414yes—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4C2×D414yes—
823C4×Dic3—22no—
824C4×Dic3—22no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C25—31no—
828C25C22×D311yescharacteristic
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—
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—64no—
864C23×C4—122no—
865C23×C4—122no—
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C23×C4C22×D311yescharacteristic
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871#127—64no—
872#127—122no—
873#125—64no—
874#123—38no—
875#123—64no—
876#123—64no—
877#123—64no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—122no—
892#121—122no—
893#121—122no—
894#121—122no—
895#121—122no—
896#120—24no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—24no—
903C4×D4—42no—
904C4×D4—64no—
905C4×D4—64no—
906C4×D4—122no—
907C4×D4—122no—
908#117—64no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—64no—
933C2×C4⋊C4—64no—
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C4⋊C4C22×D311yescharacteristic
937C2×C22⋊C4—24no—
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—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—42no—
981C2×C22⋊C4—64no—
982C2×C22⋊C4—64no—
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42C22×D311yescharacteristic
1002C2×C42C22×D311yescharacteristic
1003C2×C42C22×D311yescharacteristic
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—44no—
1057C23×C3—44no—
1058C23×C3—44no—
1059C23×C3—44no—
1060C23×C3—82no—
1061C23×C3—82no—
1062C23×C3—82no—
1063C23×C3C22×D412yes—
1064C23×C3C2×#4112yes—
1065C23×C3H(5,𝔽2)12yes—
1066C23×C3H(5,𝔽2)12yes—
1067C23×C3C2511yescharacteristic
1068C22×D3—28no—
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—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—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3C22×D412yes—
1102C22×D3H(5,𝔽2)12yes—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—82no—
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—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—44no—
1136C2×C3×C4—44no—
1137C2×C3×C4—82no—
1138C2×C3×C4—82no—
1139C2×C3×C4—82no—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C2×#4112yes—
1143C2×C3×C4C2×#4112yes—
1144#67—44no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156#67—82no—
1157#67—82no—
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—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
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—44no—
1192C2×Dic3—44no—
1193C2×Dic3—44no—
1194C2×Dic3C22×D412yes—
1195C2×Dic3C22×D412yes—
1196C2×Dic3C22×D412yes—
1197D12—44no—
1198D12—44no—
1199D12—82no—
1200D12—82no—
1201D12—82no—
1202C4×D3—44no—
1203C4×D3—44no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—82no—
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—31no—
1213C24—31no—
1214C24—31no—
1215C24—31no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—121no—
1225C24—121no—
1226C24C23×D311yescharacteristic
1227C24C23×D311yescharacteristic
1228C24C23×D311yescharacteristic
1229C24C23×D311yescharacteristic
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—34no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
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—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
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—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—1216no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—34no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—1216no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—34no—
1365C4⋊C4—34no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—34no—
1398C22⋊C4—34no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
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—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
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—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4#23514yes—
1444C22⋊C4D3×D414yes—
1445C42—22no—
1446C42—41no—
1447C42—41no—
1448C42—62no—
1449C42—62no—
1450C42—121no—
1451C42—121no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—88no—
1480C22×C3#54014yescomplemented
1481C22×C3C23×D411yescharacteristic
1482C22×C3C22×#4111yescharacteristic
1483C22×C3C2×H(5,𝔽2)11yescharacteristic
1484C22×C3C2×H(5,𝔽2)11yescharacteristic
1485C22×C3C2×H(5,𝔽2)11yescharacteristic
1486C22×C3#58511yescharacteristic
1487C22×C3#58511yescharacteristic
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—416no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C3×C4—22no—
1518C3×C4—22no—
1519C3×C4—22no—
1520C3×C4—22no—
1521C3×C4—41no—
1522C3×C4—41no—
1523C3×C4—41no—
1524C3×C4—41no—
1525C3×C4—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528Dic3—22no—
1529Dic3—22no—
1530Dic3—22no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3—41no—
1535Dic3—41no—
1536Dic3—41no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—32no—
1565C23—32no—
1566C23—44no—
1567C23—44no—
1568C23—44no—
1569C23—44no—
1570C23—68no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—82no—
1598C23—82no—
1599C23—82no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23C2×#23512yes—
1607C23C2×D3×D412yes—
1608C23#100412yes—
1609C23#100912yes—
1610C23C24×D311yescharacteristic
1611D4—44no—
1612D4—44no—
1613D4—82no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631D4—242no—
1632D4—242no—
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—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—32no—
1663C2×C4—32no—
1664C2×C4—32no—
1665C2×C4—44no—
1666C2×C4—44no—
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—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—124no—
1708C2×C4—124no—
1709C2×C4—124no—
1710C2×C4—124no—
1711C2×C4—242no—
1712C2×C4C2×#23512yes—
1713C2×C4C2×#23512yes—
1714C2×C4C2×D3×D412yes—
1715C2×C4C2×D3×D412yes—
1716C2×C3—24no—
1717C2×C3—42no—
1718C2×C3—81no—
1719C2×C3—81no—
1720C2×C3C2×#54011yescharacteristic
1721C2×C3D4×#4111yescharacteristic
1722C2×C3#348411yescharacteristic
1723C2×C3#348811yescharacteristic
1724C2×C3#351311yescharacteristic
1725C2×C3#353311yescharacteristic
1726C2×C3#353411yescharacteristic
1727D3—42no—
1728D3—42no—
1729D3—81no—
1730D3—81no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—62no—
1759C22—62no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—88no—
1765C22—1216no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22#556214yescomplemented
1789C22C22×#23511yescharacteristic
1790C22C22×D3×D411yescharacteristic
1791C22C2×#100411yescharacteristic
1792C22C2×#100911yescharacteristic
1793C22#596411yescharacteristic
1794C22D3×H(5,𝔽2)11yescharacteristic
1795C22#596611yescharacteristic
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—62no—
1808C4—62no—
1809C4—62no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C3#3771411yescharacteristic, complemented, Sylow
1820C2—24no—
1821C2—42no—
1822C2—81no—
1823C2—81no—
1824C2—122no—
1825C2—122no—
1826C2—241no—
1827C2—241no—
1828C2C2×#556211yescharacteristic
1829C2D4×#23511yescharacteristic
1830C2#8587011yescharacteristic
1831C2#8660711yescharacteristic
1832C2#8666211yescharacteristic
1833C2#8666911yescharacteristic
1834C2#8681911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2358C2
hypercenter#2358D3
hypocenterC3#37714
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
1. C2×#5562C2semidirect
2. C22×#883C2semidirect
3. C3×#2358C2semidirect
4. #82588C2semidirect
5. #82586C2semidirect
6. #82412C2semidirect
7. #82404C2semidirect
8. #82352C2semidirect
9. #82127C2semidirect
10. #82109C2semidirect
11. #82107C2semidirect
12. #76460C2semidirect
13. #76316C2semidirect
14. #75901C2semidirect
15. #75861C2semidirect
16. #75688C2semidirect
17. #75683C2semidirect
18. #74935C2semidirect
19. #74929C2semidirect
20. #74915C2semidirect
21. #74913C2semidirect
22. #74817C2semidirect
23. #74702C2semidirect
24. #74605C2semidirect
25. #74524C2semidirect
26. #74522C2semidirect
27. #74442C2semidirect
28. #73591C2semidirect
29. #73571C2semidirect
30. C4×#882C2semidirect
31. #73461C2semidirect
37. C2×C3×C4×D4C22semidirect
47. C2×#938C22semidirect
52. C2×#930C22semidirect
53. C2×#929C22semidirect
54. C2×#929C22semidirect
60. C2×#895C22semidirect
61. C2×#890C22semidirect
62. C2×#884C22semidirect
63. C2×#884C22semidirect
64. C2×#884C22semidirect
74. C2×#883C22semidirect
78. C2×C4×D12C22semidirect
79. C2×C4×D12C22semidirect
80. C2×#872C22semidirect
81. C3×#390C22semidirect
82. C3×#388C22semidirect
83. C3×#388C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
88. C3×#385C22semidirect
90. C3×C4×C22⋊C4C22semidirect
93. #5223C22semidirect
94. #5222C22semidirect
95. #5221C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5212C22semidirect
103. #5211C22semidirect
105. #5210C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4994C22semidirect
109. #4993C22semidirect
110. #4992C22semidirect
111. #4991C22semidirect
112. #4988C22semidirect
113. #4986C22semidirect
114. #4984C22semidirect
115. #4982C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
125. #4960C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
138. #4957C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
144. #4952C22semidirect
145. #4952C22semidirect
146. #4951C22semidirect
149. #4949C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4945C22semidirect
153. #4944C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4939C22semidirect
161. C4×(C2×D3)⋊C4C22semidirect
162. C4×(C2×D3)⋊C4C22semidirect
163. #4933C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4928C22semidirect
166. #4675C22semidirect
167. #4672C22semidirect
168. #4671C22semidirect
169. #4670C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4667C22semidirect
175. #4667C22semidirect
176. #4667C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4661C22semidirect
183. #4661C22semidirect
184. #4657C22semidirect
185. #4655C22semidirect
186. #4654C22semidirect
187. #4652C22semidirect
188. #4652C22semidirect
189. #4650C22semidirect
217. #2358D3semidirect
391. #883D4semidirect
466. C2×C4×D4C2×D3semidirect
520. #390C2×D3semidirect
531. #388C2×D3semidirect
532. #388C2×D3semidirect
557. #386C2×D3semidirect
558. #386C2×D3semidirect
567. #385C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
1480. C22×C3#540semidirect
1788. C22#5562semidirect
1819. C3#37714semidirect

Maximal subgroups

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

subgroupindex
C2×#55622
C22×#8832
C3×#23582
#825882
#825862
#824122
#824042
#823522
#821272
#821092
#821072
#764602
#763162
#759012
#758612
#756882
#756832
#749352
#749292
#749152
#749132
#748172
#747022
#746052
#745242
#745222
#744422
#735912
#735712
C4×#8822
#734612
#377143