Finite Group Databasebeta

← #11024879

Subgroups — #11024879

Order 768.

2900 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5692C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic
3C3×#2711C211yesmaximal, characteristic, complemented
4#83032C211yesmaximal, characteristic, complemented
5#82695C211yesmaximal, characteristic, complemented
6#78103C211yesmaximal, characteristic, complemented
7#78102C211yesmaximal, characteristic, complemented
8#77418C211yesmaximal, characteristic, complemented
9#77417C211yesmaximal, characteristic, complemented
10#77139C211yesmaximal, characteristic, complemented
11#77126C211yesmaximal, characteristic, complemented
12#77124C211yesmaximal, characteristic, complemented
13#77106C211yesmaximal, characteristic, complemented
14#77106C211yesmaximal, characteristic, complemented
15#77106C211yesmaximal, characteristic, complemented
16#77106C211yesmaximal, characteristic, complemented
17#77013C211yesmaximal, characteristic, complemented
18#76465C211yesmaximal, characteristic, complemented
19#76431C211yesmaximal, characteristic, complemented
20#76431C211yesmaximal, characteristic, complemented
21#76381C211yesmaximal, characteristic, complemented
22#75848C211yesmaximal, characteristic, complemented
23#75847C211yesmaximal, characteristic, complemented
24#75541C211yesmaximal, characteristic, complemented
25#75539C211yesmaximal, characteristic, complemented
26#75298C211yesmaximal, characteristic, complemented
27#75009C211yesmaximal, characteristic, complemented
28#74655C211yesmaximal, characteristic, complemented
29#74639C211yesmaximal, characteristic, complemented
30#74638C211yesmaximal, characteristic, complemented
31D3×#385C211yesmaximal, characteristic, complemented
32#37692—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#125C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#930C2211yescharacteristic
43#5692—28no—
44D3×#121—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#897C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic, complemented
49C2×#896C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic
51C2×#894C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic, complemented
56C2×#893C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×#889C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#878C2211yescharacteristic, complemented
74C2×#876C2211yescharacteristic, complemented
75C2×C4×D12C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic, complemented
77C3×#399C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#387C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90#5222C2211yescharacteristic, complemented
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5221C2211yescharacteristic, complemented
95#5221C2211yescharacteristic, complemented
96#5210C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#4992C2211yescharacteristic, complemented
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4987C2211yescharacteristic
109#4987C2211yescharacteristic
110#4987C2211yescharacteristic, complemented
111#4986C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4981C2211yescharacteristic, complemented
115#4981C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4952C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4949C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4947C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4942C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic
164#4933C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4674C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic
178#4667C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4661C2211yescharacteristic, complemented
188#4659C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#121—31no—
192#2848—31no—
193#2711—31no—
194#2711D311yescharacteristic, complemented
195#2708—31no—
196#2708—31no—
197#2691—31no—
198#2691—31no—
199#2681—31no—
200#2681—31no—
201#2639—31no—
202#2618—31no—
203#2480—31no—
204#2480—31no—
205#2473—31no—
206#2473—31no—
207#2443—31no—
208#2443—31no—
209#2437—31no—
210#2437—31no—
211#2425—31no—
212#2425—31no—
213#2405—31no—
214#2405—31no—
215#2405—31no—
216#2405—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2325—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C2×D3×D4—24no—
236C2×D3×D4—24no—
237C2×D3×D4—24no—
238C2×D3×D4—24no—
239C2×D3×D4—24no—
240C2×D3×D4—42no—
241C2×D3×D4—42no—
242C2×D3×D4—42no—
243C2×D3×D4—42no—
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3—24no—
248C22×C4×D3—42no—
249C22×C4×D3—42no—
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×#125—24no—
266C3×#121—24no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306#939—24no—
307#939—24no—
308#938—24no—
309#930—24no—
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×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#898—24no—
365#897—24no—
366#896—24no—
367#896—24no—
368#896—42no—
369#895D418yes—
370#894—24no—
371#894—24no—
372#894—24no—
373#894—24no—
374#893—24no—
375#893—42no—
376D3×C4⋊C4—24no—
377D3×C4⋊C4—24no—
378D3×C4⋊C4—42no—
379#889—24no—
380#884—24no—
381#884—24no—
382#883—42no—
383#883—42no—
384#883—42no—
385#883—42no—
386D3×C22⋊C4—24no—
387D3×C22⋊C4—24no—
388D3×C22⋊C4—24no—
389D3×C22⋊C4—42no—
390D3×C22⋊C4—42no—
391D3×C22⋊C4—42no—
392#878—42no—
393#876—24no—
394C4×D12—24no—
395C4×D12—42no—
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428C23×D4—31no—
429C24×C4—31no—
430#539—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#125—31no—
434C2×#125C2×D311yescharacteristic, complemented
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—68no—
456C2×#121C2×D311yescharacteristic
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470#400—31no—
471#400—31no—
472#399—31no—
473#399C2×D311yescharacteristic, complemented
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396C2×D311yescharacteristic, complemented
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#394C2×D311yescharacteristic, complemented
507#394C2×D311yescharacteristic, complemented
508#393—31no—
509#393—31no—
510#390—31no—
511#390—31no—
512#390C2×D311yescharacteristic, complemented
513#390C2×D311yescharacteristic, complemented
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388C2×D311yescharacteristic, complemented
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387C2×D311yescharacteristic, complemented
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385C2×D311yescharacteristic, complemented
563#385C2×D311yescharacteristic, complemented
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
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#4114yes—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C22×C3×C4—22no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—41no—
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668D3×D4—416no—
669D3×D4—416no—
670D3×D4—416no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12C2×D414yes—
678C2×D12C2×D414yes—
679C2×D12C2×D414yes—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—416no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3C2×D414yes—
723C2×Dic6—22no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—41no—
732C3×C4⋊C4—41no—
733C3×C4⋊C4—41no—
734C3×C4⋊C4C2×D414yes—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C42—22no—
750C3×C42—41no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4C2×D414yes—
792(C2×D3)⋊C4C2×D414yes—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817C4×Dic3—22no—
818C4×Dic3—41no—
819C25—31no—
820C25—31no—
821C25—31no—
822C22×Q8—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—64no—
833C22×D4—64no—
834C22×D4—64no—
835C22×D4—64no—
836C22×D4—64no—
837C22×D4—122no—
838C22×D4—122no—
839C22×D4—122no—
840C22×D4—122no—
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—64no—
860C23×C4—122no—
861C23×C4—122no—
862C23×C4C22×D311yescharacteristic
863#126—64no—
864#126—64no—
865#125—24no—
866#125—64no—
867#123—64no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—122no—
872#123—122no—
873#123—122no—
874#123—122no—
875C22⋊Q8—64no—
876C22⋊Q8—64no—
877C22⋊Q8—64no—
878C22⋊Q8—122no—
879C22⋊Q8—122no—
880#121—24no—
881#121—38no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888C4×D4—64no—
889C4×D4—64no—
890C4×D4—122no—
891C4×D4—122no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—64no—
917C2×C4⋊C4—64no—
918C2×C4⋊C4—122no—
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—64no—
971C2×C22⋊C4—64no—
972C2×C22⋊C4—64no—
973C2×C22⋊C4—122no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C42—31no—
991C2×C42—31no—
992C2×C42C22×D311yescharacteristic
993C2×C42C22×D311yescharacteristic
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3C2×#4112yes—
1045C23×C3C2511yescharacteristic
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—28no—
1067C22×D3—28no—
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—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3C22×D412yes—
1088C22×D3C22×D412yes—
1089C22×D3C22×D412yes—
1090C22×D3C2×#4112yes—
1091C22×D3C2×#4112yes—
1092C22×D3H(5,𝔽2)12yes—
1093C22×D3H(5,𝔽2)12yes—
1094C22×D32−1+412yes—
1095C3×D4—44no—
1096C3×D4—44no—
1097C3×D4—44no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—44no—
1132C2×C3×C4C22×D412yes—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4C22×D412yes—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139#67—44no—
1140#67—44no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—44no—
1176C2×Dic3C22×D412yes—
1177C2×Dic3H(5,𝔽2)12yes—
1178D12—28no—
1179D12—28no—
1180D12—44no—
1181C4×D3—28no—
1182C4×D3—44no—
1183C4×D3—44no—
1184C4×D3—44no—
1185C4×D3—44no—
1186C4×D3—44no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—82no—
1190C4×D3—82no—
1191C4×D3—82no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—82no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—31no—
1200C24—34no—
1201C24—62no—
1202C24—62no—
1203C24—62no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—62no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24C23×D311yescharacteristic
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C2×Q8—62no—
1225C2×Q8—121no—
1226C2×Q8—121no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—34no—
1233C2×D4—34no—
1234C2×D4—34no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—1216no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—1216no—
1265C2×D4—1216no—
1266C22×C4—22no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—34no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
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×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—1216no—
1326C22×C4—121no—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4D3×D414yes—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—34no—
1376C22⋊C4—34no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C42—22no—
1429C42—41no—
1430C42—62no—
1431C42—121no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3C23×D411yescharacteristic
1454C22×C3C22×#4111yescharacteristic
1455C22×C3C2×H(5,𝔽2)11yescharacteristic
1456C22×C3C2×H(5,𝔽2)11yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3C2×2−1+411yescharacteristic
1459C22×C3#58511yescharacteristic
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—416no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—88no—
1488C2×D3—88no—
1489C2×D3#53914yescomplemented
1490C2×D3#54614yes—
1491C3×C4—22no—
1492C3×C4—22no—
1493C3×C4—22no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503Dic3—22no—
1504Dic3—22no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—32no—
1536C23—32no—
1537C23—32no—
1538C23—32no—
1539C23—32no—
1540C23—32no—
1541C23—32no—
1542C23—32no—
1543C23—68no—
1544C23—68no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—124no—
1566C23—124no—
1567C23—124no—
1568C23—124no—
1569C23—124no—
1570C23—124no—
1571C23—124no—
1572C23—124no—
1573C23—124no—
1574C23—124no—
1575C23—124no—
1576C23—124no—
1577C23—124no—
1578C23—242no—
1579C23—242no—
1580C23—242no—
1581C23—242no—
1582C23—242no—
1583C23—242no—
1584C23D3×#4112yes—
1585C23C24×D311yescharacteristic
1586Q8—242no—
1587D4—44no—
1588D4—44no—
1589D4—44no—
1590D4—68no—
1591D4—68no—
1592D4—124no—
1593D4—124no—
1594D4—124no—
1595D4—124no—
1596D4—124no—
1597D4—124no—
1598D4—124no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—32no—
1633C2×C4—32no—
1634C2×C4—44no—
1635C2×C4—68no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—124no—
1671C2×C4—124no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—242no—
1679C2×C4—242no—
1680C2×C4—242no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4C2×D3×D412yes—
1685C2×C4C2×D3×D412yes—
1686C2×C4C2×D3×D412yes—
1687C2×C3—42no—
1688C2×C3—81no—
1689C2×C3—81no—
1690C2×C3C2×#53911yescharacteristic
1691C2×C3C2×#54611yescharacteristic
1692C2×C3#348411yescharacteristic
1693C2×C3#348911yescharacteristic
1694C2×C3#350511yescharacteristic
1695C2×C3#353411yescharacteristic
1696C2×C3#353611yescharacteristic
1697D3—24no—
1698D3—24no—
1699D3—42no—
1700D3—42no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—34no—
1705C22—34no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—62no—
1728C22—62no—
1729C22—62no—
1730C22—62no—
1731C22—62no—
1732C22—62no—
1733C22—62no—
1734C22—62no—
1735C22—62no—
1736C22—62no—
1737C22—62no—
1738C22—62no—
1739C22—62no—
1740C22—62no—
1741C22—62no—
1742C22—1216no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—248no—
1752C22—248no—
1753C22C22×D3×D411yescharacteristic
1754C22C2×D3×#4111yescharacteristic
1755C22#596411yescharacteristic
1756C22D3×H(5,𝔽2)11yescharacteristic
1757C22D3×H(5,𝔽2)11yescharacteristic
1758C22D3×H(5,𝔽2)11yescharacteristic
1759C22D3×2−1+411yescharacteristic
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—62no—
1773C4—62no—
1774C4—121no—
1775C4—121no—
1776C4—121no—
1777C4—121no—
1778C4—121no—
1779C4—121no—
1780C4—121no—
1781C4—121no—
1782C4—121no—
1783C4—121no—
1784C3#3769211yescharacteristic, complemented, Sylow
1785C2—42no—
1786C2—64no—
1787C2—64no—
1788C2—81no—
1789C2—81no—
1790C2—122no—
1791C2—122no—
1792C2#8633011yescharacteristic
1793C2D3×#53911yescharacteristic
1794C2#8649011yescharacteristic
1795C2D3×#54611yescharacteristic
1796C2#8671411yescharacteristic
1797C2#8691211yescharacteristic
1798C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2711C2
prime radicalC2×D3×#121C2
hypercenter#2711D3
hypocenterC3#37692
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. C2×#5692C2semidirect
3. C3×#2711C2semidirect
4. #83032C2semidirect
5. #82695C2semidirect
6. #78103C2semidirect
7. #78102C2semidirect
8. #77418C2semidirect
9. #77417C2semidirect
10. #77139C2semidirect
11. #77126C2semidirect
12. #77124C2semidirect
13. #77106C2semidirect
14. #77106C2semidirect
15. #77106C2semidirect
16. #77106C2semidirect
17. #77013C2semidirect
18. #76465C2semidirect
19. #76431C2semidirect
20. #76431C2semidirect
21. #76381C2semidirect
22. #75848C2semidirect
23. #75847C2semidirect
24. #75541C2semidirect
25. #75539C2semidirect
26. #75298C2semidirect
27. #75009C2semidirect
28. #74655C2semidirect
29. #74639C2semidirect
30. #74638C2semidirect
31. D3×#385C2semidirect
37. C2×C3×#125C22semidirect
45. C2×#898C22semidirect
46. C2×#897C22semidirect
48. C2×#896C22semidirect
49. C2×#896C22semidirect
51. C2×#894C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
55. C2×#893C22semidirect
56. C2×#893C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×D3×C4⋊C4C22semidirect
60. C2×#889C22semidirect
63. C2×#883C22semidirect
64. C2×#883C22semidirect
65. C2×#883C22semidirect
66. C2×#883C22semidirect
73. C2×#878C22semidirect
74. C2×#876C22semidirect
75. C2×C4×D12C22semidirect
76. C2×C4×D12C22semidirect
77. C3×#399C22semidirect
78. C3×#396C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
81. C3×#394C22semidirect
82. C3×#394C22semidirect
83. C3×#390C22semidirect
84. C3×#390C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#387C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. #5222C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
94. #5221C22semidirect
95. #5221C22semidirect
96. #5210C22semidirect
97. #5210C22semidirect
98. #4992C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4989C22semidirect
110. #4987C22semidirect
111. #4986C22semidirect
112. #4983C22semidirect
113. #4982C22semidirect
114. #4981C22semidirect
115. #4981C22semidirect
116. #4980C22semidirect
117. #4976C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
146. #4952C22semidirect
147. #4952C22semidirect
148. #4950C22semidirect
149. #4949C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4947C22semidirect
156. #4947C22semidirect
157. #4946C22semidirect
158. #4945C22semidirect
159. #4944C22semidirect
160. #4942C22semidirect
161. #4940C22semidirect
164. #4933C22semidirect
165. #4928C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4674C22semidirect
169. #4669C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
178. #4667C22semidirect
179. #4667C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. D3×#95C22semidirect
185. D3×#95C22semidirect
186. #4661C22semidirect
187. #4661C22semidirect
188. #4659C22semidirect
189. #4653C22semidirect
194. #2711D3semidirect
434. C2×#125C2×D3semidirect
473. #399C2×D3semidirect
491. #396C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
506. #394C2×D3semidirect
507. #394C2×D3semidirect
512. #390C2×D3semidirect
513. #390C2×D3semidirect
520. #388C2×D3semidirect
521. #388C2×D3semidirect
525. #387C2×D3semidirect
562. #385C2×D3semidirect
563. #385C2×D3semidirect
1489. C2×D3#539semidirect
1784. C3#37692semidirect

Maximal subgroups

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

subgroupindex
C2×#56922
C2×D3×#1212
C3×#27112
#830322
#826952
#781032
#781022
#774182
#774172
#771392
#771262
#771242
#771062
#770132
#764652
#764312
#763812
#758482
#758472
#755412
#755392
#752982
#750092
#746552
#746392
#746382
D3×#3852
#376923