Finite Group Databasebeta

← #11025479

Subgroups — #11025479

Order 768.

3154 conjugacy classes of subgroups.

The subgroup lattice has 1948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#538C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3#83117C211yesmaximal, characteristic, complemented
4#83109C211yesmaximal, characteristic, complemented
5#83082C211yesmaximal, characteristic, complemented
6#83081C211yesmaximal, characteristic, complemented
7#82984C211yesmaximal, characteristic, complemented
8#82975C211yesmaximal, characteristic, complemented
9#82965C211yesmaximal, characteristic, complemented
10#82960C211yesmaximal, characteristic, complemented
11#82912C211yesmaximal, characteristic, complemented
12#82910C211yesmaximal, characteristic, complemented
13#82893C211yesmaximal, characteristic, complemented
14#82867C211yesmaximal, characteristic, complemented
15#82827C211yesmaximal, characteristic, complemented
16#82817C211yesmaximal, characteristic, complemented
17#82702C211yesmaximal, characteristic, complemented
18#82689C211yesmaximal, characteristic, complemented
19#82686C211yesmaximal, characteristic, complemented
20#82640C211yesmaximal, characteristic, complemented
21#82635C211yesmaximal, characteristic, complemented
22#82608C211yesmaximal, characteristic, complemented
23#82604C211yesmaximal, characteristic, complemented
24#82604C211yesmaximal, characteristic, complemented
25#82596C211yesmaximal, characteristic, complemented
26#82422C211yesmaximal, characteristic, complemented
27#82398C211yesmaximal, characteristic, complemented
28C4×#937C211yesmaximal, characteristic, complemented
29#82364C211yesmaximal, characteristic, complemented
30C22⋊C4×#67C211yesmaximal, characteristic, complemented
31#82109C211yesmaximal, characteristic, complemented
32#37720—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic, complemented
38C3×#538—28no—
39C2×C3×#126C2211yescharacteristic, complemented
40C2×C3×#126C2211yescharacteristic, complemented
41C2×C3×#124C2211yescharacteristic, complemented
42C2×C3×#124C2211yescharacteristic, complemented
43C2×C3×#123C2211yescharacteristic, complemented
44C2×C3×#123C2211yescharacteristic, complemented
45C2×C3×C22⋊Q8C2211yescharacteristic, complemented
46C2×C3×#121C2211yescharacteristic
47C2×C3×#121C2211yescharacteristic, complemented
48C2×C3×#121C2211yescharacteristic, complemented
49C2×C3×#120C2211yescharacteristic, complemented
50C2×C3×#120C2211yescharacteristic, complemented
51C2×C3×C4×D4C2211yescharacteristic, complemented
52C2×C3×C4×D4C2211yescharacteristic, complemented
53C22×C3×C22⋊C4C2211yescharacteristic, complemented
54C2×#953C2211yescharacteristic, complemented
55C2×#953C2211yescharacteristic, complemented
56C2×#947C2211yescharacteristic, complemented
57C2×#946C2211yescharacteristic, complemented
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic, complemented
60C2×#939C2211yescharacteristic, complemented
61C2×#938C2211yescharacteristic
62C2×#937C2211yescharacteristic
63C2×#937C2211yescharacteristic
64C2×#937C2211yescharacteristic
65C2×#937C2211yescharacteristic
66C2×#935C2211yescharacteristic, complemented
67C2×#930C2211yescharacteristic, complemented
68C2×#930C2211yescharacteristic, complemented
69C2×#929C2211yescharacteristic, complemented
70C2×C4×#67C2211yescharacteristic
71C2×C4×#67C2211yescharacteristic
72C2×C4×#67C2211yescharacteristic, complemented
73C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
74D3×#121—28no—
75C2×#895C2211yescharacteristic, complemented
76C2×D3×C4⋊C4C2211yescharacteristic, complemented
77C2×#884C2211yescharacteristic
78C2×#884C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×D3×C22⋊C4C2211yescharacteristic, complemented
81#5247C2211yescharacteristic, complemented
82#5231C2211yescharacteristic, complemented
83#5230C2211yescharacteristic, complemented
84#5223C2211yescharacteristic, complemented
85#5223C2211yescharacteristic, complemented
86#5223C2211yescharacteristic, complemented
87#5223C2211yescharacteristic, complemented
88#5223C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5222C2211yescharacteristic, complemented
92#5221C2211yescharacteristic, complemented
93#5221C2211yescharacteristic, complemented
94#5220C2211yescharacteristic, complemented
95#5220C2211yescharacteristic, complemented
96#5220C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5211C2211yescharacteristic, complemented
105#5210C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107C4×#217C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4992C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4989C2211yescharacteristic, complemented
120#4989C2211yescharacteristic, complemented
121#4989C2211yescharacteristic, complemented
122#4988C2211yescharacteristic, complemented
123#4987C2211yescharacteristic, complemented
124#4986C2211yescharacteristic, complemented
125#4985C2211yescharacteristic, complemented
126#4981C2211yescharacteristic, complemented
127#4980C2211yescharacteristic, complemented
128#4980C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4958C2211yescharacteristic, complemented
147#4958C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4956C2211yescharacteristic, complemented
161#4955C2211yescharacteristic
162#4955C2211yescharacteristic
163#4955C2211yescharacteristic
164#4955C2211yescharacteristic, complemented
165#4955C2211yescharacteristic, complemented
166#4955C2211yescharacteristic, complemented
167#4953C2211yescharacteristic, complemented
168#4952C2211yescharacteristic, complemented
169#4952C2211yescharacteristic, complemented
170#4952C2211yescharacteristic, complemented
171#4951C2211yescharacteristic, complemented
172#4951C2211yescharacteristic, complemented
173#4949C2211yescharacteristic, complemented
174#4948C2211yescharacteristic, complemented
175#4948C2211yescharacteristic, complemented
176#4946C2211yescharacteristic, complemented
177#4945C2211yescharacteristic, complemented
178#4943C2211yescharacteristic, complemented
179#4942C2211yescharacteristic, complemented
180Dic3×C22⋊C4C2211yescharacteristic, complemented
181Dic3×C22⋊C4C2211yescharacteristic, complemented
182#4940C2211yescharacteristic, complemented
183#4940C2211yescharacteristic, complemented
184#4940C2211yescharacteristic, complemented
185#4939C2211yescharacteristic, complemented
186C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
187C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
188C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#538D311yescharacteristic, complemented
191C22×#121—31no—
192#2849—31no—
193#2714—31no—
194#2708—31no—
195#2688—31no—
196#2686—31no—
197#2682—31no—
198#2678—31no—
199#2676—31no—
200#2668—31no—
201#2661—31no—
202#2635—31no—
203#2559—31no—
204#2555—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2456—31no—
209#2449—31no—
210#2435—31no—
211#2424—31no—
212#2410—31no—
213#2408—31no—
214#2405—31no—
215#2403—31no—
216#2403—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219#2333—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67—24no—
238C22×#67—42no—
239C22×#67—42no—
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C2×D3×D4—24no—
258C2×D3×D4—24no—
259C2×D3×D4—24no—
260C2×D3×D4—42no—
261C2×D3×D4—42no—
262C2×D3×D4—42no—
263C2×D3×D4—42no—
264C2×D3×D4—42no—
265C2×D3×D4—42no—
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×C4×D3—24no—
270C22×C4×D3—42no—
271C22×C4×D3—42no—
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C3×#126—24no—
279C3×#126—24no—
280C3×#124—24no—
281C3×#124—24no—
282C3×#123—24no—
283C3×#123—24no—
284C3×C22⋊Q8—24no—
285C3×#121—24no—
286C3×#121—24no—
287C3×#121D418yescomplemented
288C3×#120—24no—
289C3×#120—24no—
290C3×C4×D4—24no—
291C3×C4×D4—24no—
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C4⋊C4C2311yescharacteristic
296C2×C3×C4⋊C4C2311yescharacteristic
297C2×C3×C4⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4—24no—
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C42C2311yescharacteristic
314C2×C3×C42C2311yescharacteristic
315#953—42no—
316#953—42no—
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337#947—42no—
338#946—42no—
339#939—24no—
340#939—24no—
341#939—42no—
342#938—24no—
343#937—24no—
344#937—24no—
345#937—42no—
346#937—42no—
347#935—42no—
348#930—24no—
349#930—42no—
350#929—42no—
351C4×#67—42no—
352C4×#67—42no—
353C4×#67—42no—
354C2×(C2×D3)⋊C4—42no—
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×(C2×D3)⋊C4C2311yescharacteristic
377C2×(C2×D3)⋊C4C2311yescharacteristic
378C2×(C2×D3)⋊C4C2311yescharacteristic
379C2×(C2×D3)⋊C4C2311yescharacteristic
380C2×(C2×D3)⋊C4C2311yescharacteristic
381C2×(C2×D3)⋊C4C2311yescharacteristic
382C2×(C2×D3)⋊C4C2311yescharacteristic
383C2×C4⋊Dic3C2311yescharacteristic
384C2×C4⋊Dic3C2311yescharacteristic
385C2×C4⋊Dic3C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397C2×C4×Dic3C2311yescharacteristic
398C2×C4×Dic3C2311yescharacteristic
399C2×C4×Dic3C2311yescharacteristic
400#895—24no—
401D3×C4⋊C4—24no—
402#884—24no—
403#884—24no—
404D3×C22⋊C4—24no—
405D3×C22⋊C4—24no—
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C24×C4—31no—
437#538—28no—
438C2×#126C2×D311yescharacteristic, complemented
439C2×#126C2×D311yescharacteristic, complemented
440C2×#124—31no—
441C2×#124C2×D311yescharacteristic, complemented
442C2×#124C2×D311yescharacteristic, complemented
443C2×#123—31no—
444C2×#123—31no—
445C2×#123C2×D311yescharacteristic, complemented
446C2×#123C2×D311yescharacteristic, complemented
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8C2×D311yescharacteristic, complemented
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—68no—
459C2×#121C2×D311yescharacteristic
460C2×#121C2×D311yescharacteristic, complemented
461C2×#121C2×D311yescharacteristic, complemented
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120C2×D311yescharacteristic, complemented
469C2×#120C2×D311yescharacteristic, complemented
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4C2×D311yescharacteristic, complemented
474C2×C4×D4C2×D311yescharacteristic, complemented
475C22×C4⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4C2×D311yescharacteristic, complemented
480#400—31no—
481#400—31no—
482#399—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#387—31no—
538#387—31no—
539#387—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#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#381—31no—
573#381—31no—
574#380—31no—
575#380—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×Q8—22no—
627C2×C3×Q8—41no—
628C2×C3×Q8—41no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4C2×D414yes—
648C2×C3×D4C2×D414yes—
649C2×C3×D4C2×D414yescomplemented
650C22×C3×C4—22no—
651C22×C3×C4—22no—
652C22×C3×C4—22no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4—41no—
658C22×C3×C4—41no—
659C22×C3×C4—41no—
660C22×C3×C4—41no—
661C22×C3×C4C2×D414yescomplemented
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—416no—
714C2×#67#4114yes—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736D3×D4—416no—
737D3×D4—416no—
738D3×D4—416no—
739C2×D12—22no—
740C2×D12—22no—
741C2×D12—22no—
742C2×D12—22no—
743C2×D12—22no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—22no—
759C2×C4×D3—22no—
760C2×C4×D3—416no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4C2×D414yescomplemented
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4C2×D414yes—
786C3×C22⋊C4C2×D414yescomplemented
787C3×C42—22no—
788C3×C42—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217—41no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837C4⋊Dic3—22no—
838C4⋊Dic3—41no—
839C4⋊Dic3—41no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4—41no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C4×Dic3—41no—
854C25—31no—
855C25—31no—
856C25—31no—
857C25C22×D311yescharacteristic
858C22×Q8C22×D311yescharacteristic
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—64no—
877C22×D4—64no—
878C22×D4—64no—
879C22×D4—64no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4—122no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4C22×D311yescharacteristic
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—64no—
905C23×C4—122no—
906C23×C4—122no—
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909C23×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911#126—24no—
912#126—24no—
913#124—24no—
914#124—24no—
915#124—122no—
916#123—24no—
917#123—24no—
918#123—122no—
919#123—122no—
920C22⋊Q8—24no—
921C22⋊Q8—122no—
922#121—24no—
923#121—24no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—122no—
932#121—122no—
933#121#6718yescomplemented
934#120—24no—
935#120—24no—
936#120—64no—
937#120—64no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—64no—
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C22⋊C4—24no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42C22×D311yescharacteristic
1038C2×C42C22×D311yescharacteristic
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—44no—
1097C23×C3—44no—
1098C23×C3—82no—
1099C23×C3—82no—
1100C23×C3—82no—
1101C23×C3—82no—
1102C23×C3—82no—
1103C23×C3C22×D412yes—
1104C23×C3C22×D412yes—
1105C23×C3C22×D412yes—
1106C23×C3C2×#4112yes—
1107C23×C3C2511yescharacteristic
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—28no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—44no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3C2×#4112yes—
1154C22×D3H(5,𝔽2)12yes—
1155C22×D3H(5,𝔽2)12yes—
1156C22×D3H(5,𝔽2)12yes—
1157C3×Q8—82no—
1158C3×D4—44no—
1159C3×D4—44no—
1160C3×D4—44no—
1161C3×D4—44no—
1162C3×D4—44no—
1163C3×D4—82no—
1164C3×D4—82no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—44no—
1192C2×C3×C4—82no—
1193C2×C3×C4—82no—
1194C2×C3×C4—82no—
1195C2×C3×C4C22×D412yes—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4C22×D412yes—
1199#67—28no—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—82no—
1211#67—82no—
1212#67—82no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—44no—
1248C2×Dic3—44no—
1249C2×Dic3—82no—
1250C2×Dic3C2×#4112yes—
1251C2×Dic3H(5,𝔽2)12yes—
1252D12—44no—
1253D12—44no—
1254D12—44no—
1255C4×D3—28no—
1256C4×D3—44no—
1257C4×D3—44no—
1258C4×D3—44no—
1259C4×D3—44no—
1260C4×D3—44no—
1261C24—22no—
1262C24—22no—
1263C24—31no—
1264C24—31no—
1265C24—31no—
1266C24—31no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—62no—
1284C24—62no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24C23×D311yescharacteristic
1294C24C23×D311yescharacteristic
1295C24C23×D311yescharacteristic
1296C24C23×D311yescharacteristic
1297C24C23×D311yescharacteristic
1298C2×Q8—22no—
1299C2×Q8—41no—
1300C2×Q8—41no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—34no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—1216no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—1216no—
1372C2×D4—1216no—
1373C2×D4—1216no—
1374C2×D4C2×#6714yes—
1375C2×D4C2×#6714yes—
1376C2×D4C2×#6714yescomplemented
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—62no—
1401C22×C4—62no—
1402C22×C4—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—62no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—1216no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4—121no—
1428C22×C4C2×#6714yescomplemented
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—121no—
1450C4⋊C4—121no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4C2×#6714yescomplemented
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4C2×#6714yes—
1519C22⋊C4C2×#6714yescomplemented
1520C42—22no—
1521C42—22no—
1522C42—121no—
1523C42—121no—
1524C42—121no—
1525C42—121no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—88no—
1562C22×C3C23×D411yescharacteristic
1563C22×C3C22×#4111yescharacteristic
1564C22×C3C2×H(5,𝔽2)11yescharacteristic
1565C22×C3C2×H(5,𝔽2)11yescharacteristic
1566C22×C3C2×H(5,𝔽2)11yescharacteristic
1567C22×C3C2×H(5,𝔽2)11yescharacteristic
1568C22×C3#58511yescharacteristic
1569C2×D3—22no—
1570C2×D3—22no—
1571C2×D3—22no—
1572C2×D3—22no—
1573C2×D3—22no—
1574C2×D3—22no—
1575C2×D3—22no—
1576C2×D3—22no—
1577C2×D3—22no—
1578C2×D3—416no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—88no—
1598C2×D3—88no—
1599C2×D3#53814yescomplemented
1600C3×C4—22no—
1601C3×C4—22no—
1602C3×C4—22no—
1603C3×C4—22no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610Dic3—22no—
1611Dic3—22no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—32no—
1654C23—32no—
1655C23—32no—
1656C23—32no—
1657C23—44no—
1658C23—44no—
1659C23—68no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—82no—
1685C23—82no—
1686C23—82no—
1687C23—82no—
1688C23—82no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—124no—
1701C23—124no—
1702C23—124no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23D3×#4112yes—
1710C23C22×#6712yes—
1711C23C22×#6712yes—
1712C23C22×#6712yes—
1713C23C24×D311yescharacteristic
1714Q8—82no—
1715D4—44no—
1716D4—44no—
1717D4—44no—
1718D4—44no—
1719D4—44no—
1720D4—68no—
1721D4—82no—
1722D4—82no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—124no—
1736D4—242no—
1737D4—242no—
1738D4—242no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—32no—
1766C2×C4—32no—
1767C2×C4—44no—
1768C2×C4—68no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—82no—
1804C2×C4—82no—
1805C2×C4—82no—
1806C2×C4—124no—
1807C2×C4—124no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—124no—
1812C2×C4—124no—
1813C2×C4—242no—
1814C2×C4C22×#6712yes—
1815C2×C4C22×#6712yes—
1816C2×C4C22×#6712yes—
1817C2×C4C22×#6712yes—
1818C2×C3—42no—
1819C2×C3—42no—
1820C2×C3—42no—
1821C2×C3—42no—
1822C2×C3—81no—
1823C2×C3C2×#53811yescharacteristic
1824C2×C3D4×#4111yescharacteristic
1825C2×C3#348411yescharacteristic
1826C2×C3#348411yescharacteristic
1827C2×C3#351911yescharacteristic
1828C2×C3#353411yescharacteristic
1829C2×C3#354211yescharacteristic
1830D3—24no—
1831D3—42no—
1832D3—81no—
1833D3—81no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—34no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—62no—
1871C22—62no—
1872C22—62no—
1873C22—62no—
1874C22—62no—
1875C22—62no—
1876C22—62no—
1877C22—62no—
1878C22—62no—
1879C22—88no—
1880C22—1216no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—248no—
1900C22—248no—
1901C22C2×D3×#4111yescharacteristic
1902C22#596411yescharacteristic
1903C22D3×H(5,𝔽2)11yescharacteristic
1904C22D3×H(5,𝔽2)11yescharacteristic
1905C22D3×H(5,𝔽2)11yescharacteristic
1906C22D3×H(5,𝔽2)11yescharacteristic
1907C22C23×#6711yescharacteristic
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—62no—
1919C4—62no—
1920C4—121no—
1921C4—121no—
1922C4—121no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C3#3772011yescharacteristic, complemented, Sylow
1931C2—42no—
1932C2—42no—
1933C2—42no—
1934C2—42no—
1935C2—64no—
1936C2—81no—
1937C2—122no—
1938C2—241no—
1939C2—241no—
1940C2#8640011yescharacteristic
1941C2D3×#53811yescharacteristic
1942C2#8641711yescharacteristic
1943C2#8642111yescharacteristic
1944C2#41×#6711yescharacteristic
1945C2#8728411yescharacteristic
1946C2#8728411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#538C2
hypercenterC2×#538D3
hypocenterC3#37720
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C3×#538C2semidirect
2. C2×D3×#121C2semidirect
3. #83117C2semidirect
4. #83109C2semidirect
5. #83082C2semidirect
6. #83081C2semidirect
7. #82984C2semidirect
8. #82975C2semidirect
9. #82965C2semidirect
10. #82960C2semidirect
11. #82912C2semidirect
12. #82910C2semidirect
13. #82893C2semidirect
14. #82867C2semidirect
15. #82827C2semidirect
16. #82817C2semidirect
17. #82702C2semidirect
18. #82689C2semidirect
19. #82686C2semidirect
20. #82640C2semidirect
21. #82635C2semidirect
22. #82608C2semidirect
23. #82604C2semidirect
24. #82604C2semidirect
25. #82596C2semidirect
26. #82422C2semidirect
27. #82398C2semidirect
28. C4×#937C2semidirect
29. #82364C2semidirect
30. C22⋊C4×#67C2semidirect
31. #82109C2semidirect
36. C22×D3×D4C22semidirect
37. C23×C4×D3C22semidirect
39. C2×C3×#126C22semidirect
40. C2×C3×#126C22semidirect
41. C2×C3×#124C22semidirect
42. C2×C3×#124C22semidirect
43. C2×C3×#123C22semidirect
44. C2×C3×#123C22semidirect
45. C2×C3×C22⋊Q8C22semidirect
47. C2×C3×#121C22semidirect
48. C2×C3×#121C22semidirect
49. C2×C3×#120C22semidirect
50. C2×C3×#120C22semidirect
51. C2×C3×C4×D4C22semidirect
52. C2×C3×C4×D4C22semidirect
53. C22×C3×C22⋊C4C22semidirect
54. C2×#953C22semidirect
55. C2×#953C22semidirect
56. C2×#947C22semidirect
57. C2×#946C22semidirect
59. C2×#939C22semidirect
60. C2×#939C22semidirect
66. C2×#935C22semidirect
67. C2×#930C22semidirect
68. C2×#930C22semidirect
69. C2×#929C22semidirect
72. C2×C4×#67C22semidirect
73. C22×(C2×D3)⋊C4C22semidirect
75. C2×#895C22semidirect
76. C2×D3×C4⋊C4C22semidirect
78. C2×#884C22semidirect
80. C2×D3×C22⋊C4C22semidirect
81. #5247C22semidirect
82. #5231C22semidirect
83. #5230C22semidirect
84. #5223C22semidirect
85. #5223C22semidirect
86. #5223C22semidirect
87. #5223C22semidirect
88. #5223C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
91. #5222C22semidirect
92. #5221C22semidirect
93. #5221C22semidirect
94. #5220C22semidirect
95. #5220C22semidirect
96. #5220C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
99. #5220C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
104. #5211C22semidirect
105. #5210C22semidirect
106. #5210C22semidirect
107. C4×#217C22semidirect
108. #4994C22semidirect
109. #4992C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4989C22semidirect
118. #4989C22semidirect
119. #4989C22semidirect
120. #4989C22semidirect
121. #4989C22semidirect
122. #4988C22semidirect
123. #4987C22semidirect
124. #4986C22semidirect
125. #4985C22semidirect
126. #4981C22semidirect
127. #4980C22semidirect
128. #4980C22semidirect
129. #4976C22semidirect
130. #4961C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4958C22semidirect
146. #4958C22semidirect
147. #4958C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
160. #4956C22semidirect
164. #4955C22semidirect
165. #4955C22semidirect
166. #4955C22semidirect
167. #4953C22semidirect
168. #4952C22semidirect
169. #4952C22semidirect
170. #4952C22semidirect
171. #4951C22semidirect
172. #4951C22semidirect
173. #4949C22semidirect
174. #4948C22semidirect
175. #4948C22semidirect
176. #4946C22semidirect
177. #4945C22semidirect
178. #4943C22semidirect
179. #4942C22semidirect
180. Dic3×C22⋊C4C22semidirect
181. Dic3×C22⋊C4C22semidirect
182. #4940C22semidirect
183. #4940C22semidirect
184. #4940C22semidirect
185. #4939C22semidirect
186. C4×(C2×D3)⋊C4C22semidirect
187. C4×(C2×D3)⋊C4C22semidirect
188. C4×(C2×D3)⋊C4C22semidirect
189. #4933C22semidirect
190. C2×#538D3semidirect
287. C3×#121D4semidirect
438. C2×#126C2×D3semidirect
439. C2×#126C2×D3semidirect
441. C2×#124C2×D3semidirect
442. C2×#124C2×D3semidirect
445. C2×#123C2×D3semidirect
446. C2×#123C2×D3semidirect
448. C2×C22⋊Q8C2×D3semidirect
460. C2×#121C2×D3semidirect
461. C2×#121C2×D3semidirect
468. C2×#120C2×D3semidirect
469. C2×#120C2×D3semidirect
473. C2×C4×D4C2×D3semidirect
474. C2×C4×D4C2×D3semidirect
479. C22×C22⋊C4C2×D3semidirect
649. C2×C3×D4C2×D4semidirect
661. C22×C3×C4C2×D4semidirect
772. C3×C4⋊C4C2×D4semidirect
786. C3×C22⋊C4C2×D4semidirect
933. #121#67semidirect
1376. C2×D4C2×#67semidirect
1428. C22×C4C2×#67semidirect
1457. C4⋊C4C2×#67semidirect
1519. C22⋊C4C2×#67semidirect
1599. C2×D3#538semidirect
1930. C3#37720semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5382
C2×D3×#1212
#831172
#831092
#830822
#830812
#829842
#829752
#829652
#829602
#829122
#829102
#828932
#828672
#828272
#828172
#827022
#826892
#826862
#826402
#826352
#826082
#826042
#825962
#824222
#823982
C4×#9372
#823642
C22⋊C4×#672
#821092
#377203