Finite Group Databasebeta

← #11028872

Subgroups — #11028872

Order 768.

3284 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2418C211yesmaximal, characteristic, complemented
2#82908C211yesmaximal, characteristic, complemented
3#82896C211yesmaximal, characteristic, complemented
4#82612C211yesmaximal, characteristic
5#82583C211yesmaximal, characteristic, complemented
6#82414C211yesmaximal, characteristic, complemented
7#82398C211yesmaximal, characteristic, complemented
8C2×#4955C211yesmaximal, characteristic, complemented
9#82112C211yesmaximal, characteristic, complemented
10#78120C211yesmaximal, characteristic, complemented
11#78110C211yesmaximal, characteristic, complemented
12#77704C211yesmaximal, characteristic, complemented
13#77480C211yesmaximal, characteristic, complemented
14#77144C211yesmaximal, characteristic, complemented
15#77142C211yesmaximal, characteristic, complemented
16#77125C211yesmaximal, characteristic, complemented
17#76925C211yesmaximal, characteristic, complemented
18#75936C211yesmaximal, characteristic, complemented
19#75933C211yesmaximal, characteristic, complemented
20#75825C211yesmaximal, characteristic, complemented
21#75541C211yesmaximal, characteristic, complemented
22#74919C211yesmaximal, characteristic, complemented
23#74876C211yesmaximal, characteristic, complemented
24#74727C211yesmaximal, characteristic, complemented
25#74690C211yesmaximal, characteristic, complemented
26#74614C211yesmaximal, characteristic, complemented
27#74413C211yesmaximal, characteristic, complemented
28#74009C211yesmaximal, characteristic, complemented
29#73909C211yesmaximal, characteristic, complemented
30D3×#379C211yesmaximal, characteristic, complemented
31#73835C211yesmaximal, characteristic, complemented
32#37848—31nomaximal, Sylow
33C25×D3C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×#120C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#935C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic, complemented
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C2×#898C2211yescharacteristic, complemented
52C2×#897C2211yescharacteristic, complemented
53C2×#885C2211yescharacteristic, complemented
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×D3×C22⋊C4C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×#879C2211yescharacteristic, complemented
61C2×#878C2211yescharacteristic, complemented
62C2×#877C2211yescharacteristic, complemented
63C3×#399C2211yescharacteristic, complemented
64C3×#397C2211yescharacteristic, complemented
65C3×#394C2211yescharacteristic, complemented
66C3×#394C2211yescharacteristic, complemented
67C3×#388C2211yescharacteristic, complemented
68C3×#388C2211yescharacteristic, complemented
69C3×#386C2211yescharacteristic, complemented
70C3×#386C2211yescharacteristic, complemented
71C3×#385C2211yescharacteristic, complemented
72C3×#380C2211yescharacteristic, complemented
73C3×#379C2211yescharacteristic
74#5247C2211yescharacteristic
75#5247C2211yescharacteristic
76#5222C2211yescharacteristic, complemented
77#5222C2211yescharacteristic, complemented
78#5221C2211yescharacteristic, complemented
79#5221C2211yescharacteristic, complemented
80#5220C2211yescharacteristic, complemented
81#5213C2211yescharacteristic, complemented
82#5213C2211yescharacteristic, complemented
83#5213C2211yescharacteristic, complemented
84#5212C2211yescharacteristic, complemented
85#5210C2211yescharacteristic, complemented
86#5210C2211yescharacteristic, complemented
87C4×#217C2211yescharacteristic, complemented
88#4994C2211yescharacteristic, complemented
89#4994C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4993C2211yescharacteristic, complemented
94#4993C2211yescharacteristic, complemented
95#4992C2211yescharacteristic, complemented
96#4990C2211yescharacteristic, complemented
97#4990C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4961C2211yescharacteristic, complemented
107#4961C2211yescharacteristic, complemented
108#4961C2211yescharacteristic, complemented
109#4959C2211yescharacteristic, complemented
110#4959C2211yescharacteristic, complemented
111#4959C2211yescharacteristic, complemented
112#4957C2211yescharacteristic, complemented
113#4957C2211yescharacteristic, complemented
114#4956C2211yescharacteristic, complemented
115#4956C2211yescharacteristic, complemented
116#4956C2211yescharacteristic, complemented
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4953C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4952C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4952C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4951C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4950C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4943C2211yescharacteristic, complemented
158#4943C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4940C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164#4677C2211yescharacteristic, complemented
165#4675C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4675C2211yescharacteristic, complemented
171#4674C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4673C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4667C2211yescharacteristic, complemented
185#4667C2211yescharacteristic, complemented
186#4666C2211yescharacteristic, complemented
187#4666C2211yescharacteristic, complemented
188#2846—31no—
189#2736—31no—
190#2735—31no—
191#2735—31no—
192#2735—31no—
193#2697—31no—
194#2685—31no—
195#2685—31no—
196#2684—31no—
197#2626—31no—
198#2622—31no—
199#2561—31no—
200#2534—31no—
201#2482—31no—
202#2480—31no—
203#2480—31no—
204#2480—31no—
205#2480—31no—
206#2472—31no—
207#2472—31no—
208#2437—31no—
209#2418—31no—
210#2418D311yescharacteristic, complemented
211#2412—31no—
212#2411—31no—
213#2358—31no—
214#2342—31no—
215#2321—31no—
216#2312—31no—
217C2×#379—31no—
218C2×#379—31no—
219C25×C3C2311yescharacteristic
220C24×D3—24no—
221C24×D3—24no—
222C24×D3—42no—
223C24×D3—42no—
224C24×D3—42no—
225C24×D3—42no—
226C24×D3—42no—
227C24×D3C2311yescharacteristic
228C24×D3C2311yescharacteristic
229C24×D3C2311yescharacteristic
230C24×D3C2311yescharacteristic
231C24×D3C2311yescharacteristic
232C24×D3C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic, complemented
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×Dic6C2311yescharacteristic, complemented
250C3×#123—42no—
251C3×#120—42no—
252C3×C4×D4—42no—
253C2×C3×C4⋊C4C2311yescharacteristic, complemented
254C2×C3×C4⋊C4C2311yescharacteristic, complemented
255C2×C3×C4⋊C4C2311yescharacteristic, complemented
256C2×C3×C4⋊C4C2311yescharacteristic, complemented
257C2×C3×C4⋊C4C2311yescharacteristic, complemented
258C2×C3×C22⋊C4—42no—
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic, complemented
273C2×C3×C22⋊C4C2311yescharacteristic, complemented
274C2×C3×C22⋊C4C2311yescharacteristic, complemented
275C2×C3×C42C2311yescharacteristic, complemented
276C2×#217—42no—
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic, complemented
294C2×#217C2311yescharacteristic, complemented
295C2×#217C2311yescharacteristic, complemented
296C2×#217C2311yescharacteristic, complemented
297#937—24no—
298#937—24no—
299#937—42no—
300#937—42no—
301#937—42no—
302#937—42no—
303#935—42no—
304C4×#67—42no—
305C2×(C2×D3)⋊C4—24no—
306C2×(C2×D3)⋊C4—42no—
307C2×(C2×D3)⋊C4—42no—
308C2×(C2×D3)⋊C4—42no—
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×(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, complemented
350C2×C4⋊Dic3C2311yescharacteristic, complemented
351C2×C4⋊Dic3C2311yescharacteristic, complemented
352C2×C4⋊Dic3C2311yescharacteristic, complemented
353C2×C4⋊Dic3C2311yescharacteristic, complemented
354C2×Dic3⋊C4C2311yescharacteristic, complemented
355C2×Dic3⋊C4C2311yescharacteristic, complemented
356C2×Dic3⋊C4C2311yescharacteristic, complemented
357C2×Dic3⋊C4C2311yescharacteristic, complemented
358C2×Dic3⋊C4C2311yescharacteristic, complemented
359C2×Dic3⋊C4C2311yescharacteristic, complemented
360C2×Dic3⋊C4C2311yescharacteristic, complemented
361C2×Dic3⋊C4C2311yescharacteristic, complemented
362C2×Dic3⋊C4C2311yescharacteristic, complemented
363C2×Dic3⋊C4C2311yescharacteristic, complemented
364C2×C4×Dic3C2311yescharacteristic, complemented
365C2×C4×Dic3C2311yescharacteristic, complemented
366C2×C4×Dic3C2311yescharacteristic, complemented
367C2×C4×Dic3C2311yescharacteristic, complemented
368C2×C4×Dic3C2311yescharacteristic, complemented
369C2×C4×Dic3C2311yescharacteristic, complemented
370#898—42no—
371#897—42no—
372#885—42no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—42no—
375D3×C22⋊C4—42no—
376D3×C22⋊C4—42no—
377D3×C22⋊C4—42no—
378D3×C22⋊C4—42no—
379#879—42no—
380#878—42no—
381#877—42no—
382C3×#95C2311yescharacteristic, complemented
383C3×#95C2311yescharacteristic, complemented
384C3×#95C2311yescharacteristic, complemented
385C3×#95C2311yescharacteristic, complemented
386C3×#95C2311yescharacteristic, complemented
387C3×#95C2311yescharacteristic, complemented
388C3⋊#95C2311yescharacteristic, complemented
389C3⋊#95C2311yescharacteristic, complemented
390C3⋊#95C2311yescharacteristic, complemented
391C3⋊#95C2311yescharacteristic, complemented
392C3⋊#95C2311yescharacteristic, complemented
393C3⋊#95C2311yescharacteristic, complemented
394C3⋊#95C2311yescharacteristic, complemented
395C3⋊#95C2311yescharacteristic, complemented
396C3⋊#95C2311yescharacteristic, complemented
397C3⋊#95C2311yescharacteristic, complemented
398C3⋊#95C2311yescharacteristic, complemented
399C3⋊#95C2311yescharacteristic, complemented
400C3⋊#95C2311yescharacteristic, complemented
401C3⋊#95C2311yescharacteristic, complemented
402C3⋊#95C2311yescharacteristic, complemented
403C3⋊#95C2311yescharacteristic, complemented
404C3⋊#95C2311yescharacteristic, complemented
405C3⋊#95C2311yescharacteristic, complemented
406C3⋊#95C2311yescharacteristic, complemented
407C3⋊#95C2311yescharacteristic, complemented
408C3⋊#95C2311yescharacteristic, complemented
409C3⋊#95C2311yescharacteristic, complemented
410C26—31no—
411C2×#126—31no—
412C2×#126—31no—
413C2×#124—31no—
414C2×#123—31no—
415C2×#123C2×D311yescharacteristic, complemented
416C2×C22⋊Q8—31no—
417C2×C22⋊Q8—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×#120—31no—
422C2×#120—31no—
423C2×#120—31no—
424C2×#120C2×D311yescharacteristic
425C2×C4×D4—31no—
426C2×C4×D4C2×D311yescharacteristic, complemented
427C2×#117—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432C22×C22⋊C4—31no—
433C22×C22⋊C4—31no—
434C22×C22⋊C4—31no—
435C22×C22⋊C4—31no—
436C22×C22⋊C4—31no—
437C22×C22⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4C2×D311yescharacteristic
440#399—31no—
441#399—31no—
442#399—31no—
443#399C2×D311yescharacteristic, complemented
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#397—31no—
449#397—31no—
450#397—31no—
451#397—31no—
452#397—31no—
453#397—31no—
454#397—31no—
455#397—31no—
456#397—31no—
457#397C2×D311yescharacteristic, complemented
458#396—31no—
459#396—31no—
460#396—31no—
461#396—31no—
462#396—31no—
463#396—31no—
464#396—31no—
465#396—31no—
466#394—31no—
467#394—31no—
468#394—31no—
469#394—31no—
470#394—31no—
471#394—31no—
472#394—31no—
473#394—31no—
474#394C2×D311yescharacteristic, complemented
475#394C2×D311yescharacteristic, complemented
476#393—31no—
477#393—31no—
478#393—31no—
479#393—31no—
480#390—31no—
481#390—31no—
482#390—31no—
483#390—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388C2×D311yescharacteristic, complemented
511#388C2×D311yescharacteristic, complemented
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386C2×D311yescharacteristic, complemented
520#386C2×D311yescharacteristic, complemented
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385C2×D311yescharacteristic, complemented
530#381—31no—
531#381—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#380C2×D311yescharacteristic, complemented
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541#379—31no—
542#379—31no—
543#379—31no—
544#379—31no—
545#379—31no—
546#379—31no—
547#379—31no—
548#379—31no—
549#379—31no—
550#379—31no—
551#379—31no—
552#379—31no—
553#379—31no—
554#379—31no—
555#379—31no—
556#379—31no—
557#379—31no—
558#379—31no—
559#379C2×D311yescharacteristic
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C24×C3—22no—
566C24×C3—22no—
567C24×C3—22no—
568C24×C3—22no—
569C24×C3—22no—
570C24×C3—41no—
571C24×C3—41no—
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—416no—
617C23×D3—416no—
618C23×D3—416no—
619C23×D3—416no—
620C23×D3—416no—
621C23×D3—416no—
622C23×D3—416no—
623C23×D3#4114yes—
624C23×D3#4114yes—
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×Dic6—41no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C42—41no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C4×Dic3—41no—
804C4×Dic3—41no—
805C4×Dic3—41no—
806C25—31no—
807C25—31no—
808C25—31no—
809C25—31no—
810C25—31no—
811C25—31no—
812C25—64no—
813C25—64no—
814C25—122no—
815C25—122no—
816C25—122no—
817C25—122no—
818C25—122no—
819C25C22×D311yescharacteristic
820C22×Q8—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic, complemented
837#126—122no—
838#126—122no—
839#124—122no—
840#123—42no—
841#123—122no—
842C22⋊Q8—122no—
843C22⋊Q8—122no—
844#120—42no—
845#120—64no—
846#120—64no—
847#120—122no—
848#120—122no—
849#120—122no—
850#120—122no—
851C4×D4—42no—
852C4×D4—122no—
853#117—122no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4C22×D311yescharacteristic, complemented
870C2×C4⋊C4C22×D311yescharacteristic, complemented
871C2×C4⋊C4C22×D311yescharacteristic, complemented
872C2×C4⋊C4C22×D311yescharacteristic, complemented
873C2×C4⋊C4C22×D311yescharacteristic, complemented
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—42no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4—122no—
938C2×C22⋊C4—122no—
939C2×C22⋊C4—122no—
940C2×C22⋊C4—122no—
941C2×C22⋊C4—122no—
942C2×C22⋊C4—122no—
943C2×C22⋊C4—122no—
944C2×C22⋊C4—122no—
945C2×C22⋊C4—122no—
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic, complemented
960C2×C22⋊C4C22×D311yescharacteristic, complemented
961C2×C22⋊C4C22×D311yescharacteristic, complemented
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42C22×D311yescharacteristic, complemented
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95C22×D311yescharacteristic, complemented
992#95C22×D311yescharacteristic, complemented
993#95C22×D311yescharacteristic, complemented
994#95C22×D311yescharacteristic, complemented
995#95C22×D311yescharacteristic, complemented
996#95C22×D311yescharacteristic, complemented
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—28no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—44no—
1022C23×C3—44no—
1023C23×C3—44no—
1024C23×C3—44no—
1025C23×C3—44no—
1026C23×C3—44no—
1027C23×C3C2×#4112yes—
1028C23×C3C2×#4112yes—
1029C23×C3H(5,𝔽2)12yes—
1030C23×C3H(5,𝔽2)12yes—
1031C23×C3H(5,𝔽2)12yes—
1032C23×C3C2511yescharacteristic
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—28no—
1038C22×D3—28no—
1039C22×D3—28no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
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—28no—
1059C22×D3—28no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—44no—
1069C22×D3—44no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—44no—
1075C22×D3—44no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—44no—
1083C22×D3—44no—
1084C22×D3—44no—
1085C22×D3—44no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—4128no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3C2×#4112yes—
1099C22×D3C2×#4112yes—
1100C22×D3C2×#4112yes—
1101C22×D3C2×#4112yes—
1102C22×D3H(5,𝔽2)12yes—
1103C22×D3H(5,𝔽2)12yes—
1104C3×D4—44no—
1105C3×D4—82no—
1106C3×D4—82no—
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—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—82no—
1141C2×C3×C4—82no—
1142C2×C3×C4—82no—
1143#67—44no—
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—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—44no—
1184C2×Dic3—82no—
1185C4×D3—82no—
1186C4×D3—82no—
1187C4×D3—82no—
1188C4×D3—82no—
1189Dic6—82no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—31no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—34no—
1200C24—34no—
1201C24—41no—
1202C24—41no—
1203C24—62no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—62no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—62no—
1214C24—62no—
1215C24—62no—
1216C24—62no—
1217C24—62no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—121no—
1226C24—121no—
1227C24—121no—
1228C24—121no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24—121no—
1241C24—121no—
1242C24—121no—
1243C24—1216no—
1244C24—1216no—
1245C24—1216no—
1246C24—1216no—
1247C24—1216no—
1248C24—1216no—
1249C24—1216no—
1250C24C23×D311yescharacteristic
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C2×Q8—121no—
1255C2×Q8—121no—
1256C2×Q8—121no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
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—
1424C42—41no—
1425C42—121no—
1426C42—121no—
1427C42—121no—
1428C42—121no—
1429C42—121no—
1430C42—121no—
1431C22×C3—22no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—416no—
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—41no—
1459C22×C3#53814yes—
1460C22×C3C22×#4111yescharacteristic
1461C22×C3C22×#4111yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3C2×H(5,𝔽2)11yescharacteristic
1464C22×C3C2×H(5,𝔽2)11yescharacteristic
1465C22×C3C2×H(5,𝔽2)11yescharacteristic
1466C22×C3C2×H(5,𝔽2)11yescharacteristic
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—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—416no—
1483C2×D3—416no—
1484C2×D3—416no—
1485C2×D3—416no—
1486C2×D3—416no—
1487C2×D3—416no—
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#55114yes—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504C3×C4—41no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—28no—
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—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—32no—
1549C23—32no—
1550C23—32no—
1551C23—32no—
1552C23—32no—
1553C23—32no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—68no—
1561C23—68no—
1562C23—68no—
1563C23—68no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—68no—
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—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—124no—
1588C23—124no—
1589C23—124no—
1590C23—124no—
1591C23—124no—
1592C23—124no—
1593C23—124no—
1594C23—124no—
1595C23—124no—
1596C23—124no—
1597C23—124no—
1598C23—124no—
1599C23—124no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—124no—
1613C23—124no—
1614C23—124no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—12128no—
1622C23—124no—
1623C23—124no—
1624C23—124no—
1625C23#100412yes—
1626C23#100412yes—
1627C23D3×#4112yes—
1628C23D3×#4112yes—
1629C23#100912yes—
1630C23C24×D311yescharacteristic
1631Q8—242no—
1632D4—44no—
1633D4—82no—
1634D4—82no—
1635D4—124no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
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—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
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—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—124no—
1712C2×C4—242no—
1713C2×C4—242no—
1714C2×C4—242no—
1715C2×C4—242no—
1716C2×C4—242no—
1717C2×C3—24no—
1718C2×C3—42no—
1719C2×C3—42no—
1720C2×C3—81no—
1721C2×C3C2×#53811yescharacteristic
1722C2×C3C2×#55111yescharacteristic
1723C2×C3#349011yescharacteristic
1724C2×C3#349011yescharacteristic
1725C2×C3#349011yescharacteristic
1726C2×C3#353211yescharacteristic
1727C2×C3#353211yescharacteristic
1728D3—24no—
1729D3—42no—
1730D3—42no—
1731D3—42no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—34no—
1745C22—416no—
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—41no—
1759C22—41no—
1760C22—41no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—62no—
1775C22—62no—
1776C22—1216no—
1777C22—1216no—
1778C22—1216no—
1779C22—1216no—
1780C22—1216no—
1781C22—1216no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22#565714yes—
1795C22C2×#100411yescharacteristic
1796C22C2×#100411yescharacteristic
1797C22C2×D3×#4111yescharacteristic
1798C22C2×D3×#4111yescharacteristic
1799C22C2×#100911yescharacteristic
1800C22D3×H(5,𝔽2)11yescharacteristic
1801C22D3×H(5,𝔽2)11yescharacteristic
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C3#3784811yescharacteristic, complemented, Sylow
1826C2—24no—
1827C2—42no—
1828C2—42no—
1829C2—64no—
1830C2—81no—
1831C2—122no—
1832C2—122no—
1833C2—122no—
1834C2C2×#565711yescharacteristic
1835C2#8604311yescharacteristic
1836C2#8641811yescharacteristic
1837C2#8662211yescharacteristic
1838C2#8666411yescharacteristic
1839C2#8666411yescharacteristic
1840C2D3×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2418C2
prime radical#82612C2
hypercenter#2418D3
hypocenterC3#37848
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C3×#2418C2semidirect
2. #82908C2semidirect
3. #82896C2semidirect
5. #82583C2semidirect
6. #82414C2semidirect
7. #82398C2semidirect
8. C2×#4955C2semidirect
9. #82112C2semidirect
10. #78120C2semidirect
11. #78110C2semidirect
12. #77704C2semidirect
13. #77480C2semidirect
14. #77144C2semidirect
15. #77142C2semidirect
16. #77125C2semidirect
17. #76925C2semidirect
18. #75936C2semidirect
19. #75933C2semidirect
20. #75825C2semidirect
21. #75541C2semidirect
22. #74919C2semidirect
23. #74876C2semidirect
24. #74727C2semidirect
25. #74690C2semidirect
26. #74614C2semidirect
27. #74413C2semidirect
28. #74009C2semidirect
29. #73909C2semidirect
30. D3×#379C2semidirect
31. #73835C2semidirect
34. C2×C3×#123C22semidirect
36. C2×C3×C4×D4C22semidirect
45. C2×#935C22semidirect
46. C2×C4×#67C22semidirect
51. C2×#898C22semidirect
52. C2×#897C22semidirect
53. C2×#885C22semidirect
60. C2×#879C22semidirect
61. C2×#878C22semidirect
62. C2×#877C22semidirect
63. C3×#399C22semidirect
64. C3×#397C22semidirect
65. C3×#394C22semidirect
66. C3×#394C22semidirect
67. C3×#388C22semidirect
68. C3×#388C22semidirect
69. C3×#386C22semidirect
70. C3×#386C22semidirect
71. C3×#385C22semidirect
72. C3×#380C22semidirect
76. #5222C22semidirect
77. #5222C22semidirect
78. #5221C22semidirect
79. #5221C22semidirect
80. #5220C22semidirect
81. #5213C22semidirect
82. #5213C22semidirect
83. #5213C22semidirect
84. #5212C22semidirect
85. #5210C22semidirect
86. #5210C22semidirect
87. C4×#217C22semidirect
88. #4994C22semidirect
89. #4994C22semidirect
90. #4994C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4993C22semidirect
94. #4993C22semidirect
95. #4992C22semidirect
96. #4990C22semidirect
97. #4990C22semidirect
98. #4990C22semidirect
99. #4990C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4989C22semidirect
105. #4987C22semidirect
106. #4961C22semidirect
107. #4961C22semidirect
108. #4961C22semidirect
109. #4959C22semidirect
110. #4959C22semidirect
111. #4959C22semidirect
112. #4957C22semidirect
113. #4957C22semidirect
114. #4956C22semidirect
115. #4956C22semidirect
116. #4956C22semidirect
137. #4953C22semidirect
138. #4952C22semidirect
139. #4952C22semidirect
140. #4952C22semidirect
141. #4952C22semidirect
142. #4951C22semidirect
143. #4951C22semidirect
144. #4951C22semidirect
145. #4950C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4947C22semidirect
150. #4947C22semidirect
151. #4945C22semidirect
152. #4944C22semidirect
153. #4944C22semidirect
154. #4944C22semidirect
155. #4944C22semidirect
156. #4944C22semidirect
157. #4943C22semidirect
158. #4943C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
162. #4940C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. #4677C22semidirect
165. #4675C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4675C22semidirect
170. #4675C22semidirect
171. #4674C22semidirect
172. #4673C22semidirect
173. #4673C22semidirect
174. #4670C22semidirect
175. #4670C22semidirect
176. #4669C22semidirect
177. #4669C22semidirect
178. #4669C22semidirect
179. #4669C22semidirect
180. #4669C22semidirect
181. #4669C22semidirect
182. #4668C22semidirect
183. #4668C22semidirect
184. #4667C22semidirect
185. #4667C22semidirect
186. #4666C22semidirect
187. #4666C22semidirect
210. #2418D3semidirect
238. C23×C3×C4C23semidirect
249. C22×Dic6C23semidirect
253. C2×C3×C4⋊C4C23semidirect
254. C2×C3×C4⋊C4C23semidirect
255. C2×C3×C4⋊C4C23semidirect
256. C2×C3×C4⋊C4C23semidirect
257. C2×C3×C4⋊C4C23semidirect
272. C2×C3×C22⋊C4C23semidirect
273. C2×C3×C22⋊C4C23semidirect
274. C2×C3×C22⋊C4C23semidirect
275. C2×C3×C42C23semidirect
293. C2×#217C23semidirect
294. C2×#217C23semidirect
295. C2×#217C23semidirect
296. C2×#217C23semidirect
349. C2×C4⋊Dic3C23semidirect
350. C2×C4⋊Dic3C23semidirect
351. C2×C4⋊Dic3C23semidirect
352. C2×C4⋊Dic3C23semidirect
353. C2×C4⋊Dic3C23semidirect
354. C2×Dic3⋊C4C23semidirect
355. C2×Dic3⋊C4C23semidirect
356. C2×Dic3⋊C4C23semidirect
357. C2×Dic3⋊C4C23semidirect
358. C2×Dic3⋊C4C23semidirect
359. C2×Dic3⋊C4C23semidirect
360. C2×Dic3⋊C4C23semidirect
361. C2×Dic3⋊C4C23semidirect
362. C2×Dic3⋊C4C23semidirect
363. C2×Dic3⋊C4C23semidirect
364. C2×C4×Dic3C23semidirect
365. C2×C4×Dic3C23semidirect
366. C2×C4×Dic3C23semidirect
367. C2×C4×Dic3C23semidirect
368. C2×C4×Dic3C23semidirect
369. C2×C4×Dic3C23semidirect
382. C3×#95C23semidirect
383. C3×#95C23semidirect
384. C3×#95C23semidirect
385. C3×#95C23semidirect
386. C3×#95C23semidirect
387. C3×#95C23semidirect
388. C3⋊#95C23semidirect
389. C3⋊#95C23semidirect
390. C3⋊#95C23semidirect
391. C3⋊#95C23semidirect
392. C3⋊#95C23semidirect
393. C3⋊#95C23semidirect
394. C3⋊#95C23semidirect
395. C3⋊#95C23semidirect
396. C3⋊#95C23semidirect
397. C3⋊#95C23semidirect
398. C3⋊#95C23semidirect
399. C3⋊#95C23semidirect
400. C3⋊#95C23semidirect
401. C3⋊#95C23semidirect
402. C3⋊#95C23semidirect
403. C3⋊#95C23semidirect
404. C3⋊#95C23semidirect
405. C3⋊#95C23semidirect
406. C3⋊#95C23semidirect
407. C3⋊#95C23semidirect
408. C3⋊#95C23semidirect
409. C3⋊#95C23semidirect
415. C2×#123C2×D3semidirect
426. C2×C4×D4C2×D3semidirect
443. #399C2×D3semidirect
457. #397C2×D3semidirect
474. #394C2×D3semidirect
475. #394C2×D3semidirect
510. #388C2×D3semidirect
511. #388C2×D3semidirect
519. #386C2×D3semidirect
520. #386C2×D3semidirect
529. #385C2×D3semidirect
536. #380C2×D3semidirect
836. C23×C4C22×D3semidirect
869. C2×C4⋊C4C22×D3semidirect
870. C2×C4⋊C4C22×D3semidirect
871. C2×C4⋊C4C22×D3semidirect
872. C2×C4⋊C4C22×D3semidirect
873. C2×C4⋊C4C22×D3semidirect
959. C2×C22⋊C4C22×D3semidirect
960. C2×C22⋊C4C22×D3semidirect
961. C2×C22⋊C4C22×D3semidirect
968. C2×C42C22×D3semidirect
991. #95C22×D3semidirect
992. #95C22×D3semidirect
993. #95C22×D3semidirect
994. #95C22×D3semidirect
995. #95C22×D3semidirect
996. #95C22×D3semidirect
1825. C3#37848semidirect

Maximal subgroups

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

subgroupindex
C3×#24182
#829082
#828962
#826122
#825832
#824142
#823982
C2×#49552
#821122
#781202
#781102
#777042
#774802
#771442
#771422
#771252
#769252
#759362
#759332
#758252
#755412
#749192
#748762
#747272
#746902
#746142
#744132
#740092
#739092
D3×#3792
#738352
#378483