Finite Group Databasebeta

← #11633288

Subgroups — #11633288

Order 768.

2588 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic
2C2×#5531C211yesmaximal, characteristic, complemented
3C3×#2413C211yesmaximal, characteristic, complemented
4#82893C211yesmaximal, characteristic
5#82857C211yesmaximal, characteristic, complemented
6#82842C211yesmaximal, characteristic, complemented
7#82271C211yesmaximal, characteristic, complemented
8#82196C211yesmaximal, characteristic, complemented
9C2×#4989C211yesmaximal, characteristic, complemented
10#77971C211yesmaximal, characteristic, complemented
11#77788C211yesmaximal, characteristic, complemented
12#77756C211yesmaximal, characteristic, complemented
13#77756C211yesmaximal, characteristic, complemented
14#77418C211yesmaximal, characteristic, complemented
15#77357C211yesmaximal, characteristic, complemented
16#77319C211yesmaximal, characteristic, complemented
17#77303C211yesmaximal, characteristic, complemented
18#76205C211yesmaximal, characteristic, complemented
19#76111C211yesmaximal, characteristic, complemented
20#76022C211yesmaximal, characteristic, complemented
21#76002C211yesmaximal, characteristic, complemented
22#75832C211yesmaximal, characteristic, complemented
23#75674C211yesmaximal, characteristic, complemented
24#75539C211yesmaximal, characteristic, complemented
25#75506C211yesmaximal, characteristic, complemented
26#74878C211yesmaximal, characteristic
27#74741C211yesmaximal, characteristic, complemented
28#74413C211yesmaximal, characteristic, complemented
29#74395C211yesmaximal, characteristic, complemented
30#74065C211yesmaximal, characteristic, complemented
31#74050C211yesmaximal, characteristic, complemented
32#59012—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic, complemented
38C22×C3×C4⋊C4C2211yescharacteristic, complemented
39C2×#935C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C2×#929C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×Dic3⋊C4C2211yescharacteristic, complemented
46D3×#123—28no—
47#5531—28no—
48C2×#898C2211yescharacteristic, complemented
49C2×#897C2211yescharacteristic
50C2×#896C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×D3×C4⋊C4C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×#889C2211yescharacteristic, complemented
56C2×#889C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×#878C2211yescharacteristic, complemented
66C2×#877C2211yescharacteristic, complemented
67C2×#877C2211yescharacteristic, complemented
68C2×#876C2211yescharacteristic, complemented
69C2×#872C2211yescharacteristic, complemented
70C2×#870C2211yescharacteristic, complemented
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#398C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#396C2211yescharacteristic, complemented
75C3×#396C2211yescharacteristic, complemented
76C3×#389C2211yescharacteristic, complemented
77C3×#389C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic
81C3×#385C2211yescharacteristic, complemented
82C3×#381C2211yescharacteristic, complemented
83#5220C2211yescharacteristic
84#5220C2211yescharacteristic
85#5212C2211yescharacteristic, complemented
86#5211C2211yescharacteristic, complemented
87#5211C2211yescharacteristic, complemented
88C2×C3⋊#95C2211yescharacteristic, complemented
89C2×C3⋊#95C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4994C2211yescharacteristic, complemented
92#4992C2211yescharacteristic, complemented
93#4992C2211yescharacteristic, complemented
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4990C2211yescharacteristic, complemented
97#4990C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4987C2211yescharacteristic
113#4987C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4985C2211yescharacteristic, complemented
116#4985C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4983C2211yescharacteristic, complemented
121#4977C2211yescharacteristic, complemented
122Dic3×C4⋊C4C2211yescharacteristic, complemented
123#4973C2211yescharacteristic, complemented
124#4972C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4972C2211yescharacteristic, complemented
127#4972C2211yescharacteristic, complemented
128#4972C2211yescharacteristic, complemented
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4958C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4953C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4947C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4945C2211yescharacteristic, complemented
149#4945C2211yescharacteristic, complemented
150#4944C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4942C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×(C2×D3)⋊C4C2211yescharacteristic
158#4677C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic, complemented
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4664C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#552—31no—
191C22×#123—31no—
192#2707—31no—
193#2695—31no—
194#2694—31no—
195#2687—31no—
196#2558—31no—
197#2553—31no—
198#2498—31no—
199#2488—31no—
200#2486—31no—
201#2480—31no—
202#2480—31no—
203#2473—31no—
204#2473—31no—
205#2470—31no—
206#2458—31no—
207#2442—31no—
208#2437—31no—
209#2437—31no—
210#2419—31no—
211#2413—31no—
212#2413D311yescharacteristic, complemented
213#2405—31no—
214#2360—31no—
215#2359—31no—
216#2342—31no—
217#2342—31no—
218D4×C22⋊C4—31no—
219C2×#385—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×D3×D4—24no—
233C2×D3×D4—24no—
234C2×D3×D4—42no—
235C22×D12C2311yescharacteristic
236C22×C4×D3—24no—
237C22×C4×D3—24no—
238C22×C4×D3—42no—
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#123—24no—
250C3×#123—42no—
251C3×#117—24no—
252C2×C3×C4⋊C4—42no—
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285#935—24no—
286#929—24no—
287#929—24no—
288C4×#67—42no—
289C2×(C2×D3)⋊C4—24no—
290C2×(C2×D3)⋊C4—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×Dic3⋊C4—24no—
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355#898—24no—
356#897—24no—
357#896—24no—
358#894—24no—
359#894—24no—
360D3×C4⋊C4—24no—
361D3×C4⋊C4—24no—
362#889—24no—
363#889—24no—
364#886D418yes—
365#883—24no—
366#883—24no—
367#67⋊C4—24no—
368D3×C22⋊C4—24no—
369D3×C22⋊C4—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—24no—
372#878—24no—
373#877—24no—
374#877—42no—
375#876—24no—
376#872—24no—
377#870—24no—
378C4×Dic6—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4—31no—
418C24×C4—31no—
419#552—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—68no—
434C2×#123C2×D311yescharacteristic
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C4×Q8—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117C2×D311yescharacteristic, complemented
446C22×C4⋊C4—31no—
447C22×C4⋊C4—31no—
448C22×C4⋊C4—31no—
449C22×C4⋊C4C2×D311yescharacteristic, complemented
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#399—31no—
461#399—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398C2×D311yescharacteristic, complemented
469#398C2×D311yescharacteristic, complemented
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396C2×D311yescharacteristic, complemented
481#396C2×D311yescharacteristic, complemented
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#393—31no—
487#393—31no—
488#391—31no—
489#390—31no—
490#390—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389C2×D311yescharacteristic, complemented
497#389C2×D311yescharacteristic, complemented
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388C2×D311yescharacteristic, complemented
511#388C2×D311yescharacteristic, complemented
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386C2×D311yescharacteristic
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385C2×D311yescharacteristic, complemented
542#382—31no—
543#381—31no—
544#381—31no—
545#381—31no—
546#381C2×D311yescharacteristic, complemented
547#380—31no—
548#380—31no—
549#380—31no—
550#380—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3#4114yes—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67C2×D414yes—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—41no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3C2×D414yes—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646D3×D4—416no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—41no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—416no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—41no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4C2×D414yes—
702C3×C42—22no—
703C3×C42—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—41no—
711#217—41no—
712#217—41no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4C2×D414yes—
739(C2×D3)⋊C4C2×D414yes—
740(C2×D3)⋊C4#4114yes—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746C4⋊Dic3C2×D414yes—
747C4⋊Dic3C2×D414yes—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25—31no—
778C22×Q8—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—64no—
783C22×D4—64no—
784C22×D4—122no—
785C22×D4C22×D311yescharacteristic
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—64no—
799C23×C4—64no—
800C23×C4—122no—
801C23×C4C22×D311yescharacteristic
802C23×C4C22×D311yescharacteristic
803C23×C4C22×D311yescharacteristic
804#126—64no—
805#126—64no—
806#125—64no—
807#125—64no—
808#125—64no—
809#123—24no—
810#123—38no—
811#123—42no—
812#123—64no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C4×Q8—64no—
823C4×D4—64no—
824C4×D4—122no—
825#117—24no—
826#117—64no—
827#117—64no—
828#117—122no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4—64no—
858C2×C4⋊C4—64no—
859C2×C4⋊C4—64no—
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—64no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4—64no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4—64no—
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3C22×D412yes—
984C23×C3C2×#4112yes—
985C23×C3H(5,𝔽2)12yes—
986C23×C3C2511yescharacteristic
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—28no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—28no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3C22×D412yes—
1018C22×D3C2×#4112yes—
1019C22×D3C2×#4112yes—
1020C22×D3C2×#4112yes—
1021C22×D32−1+412yes—
1022C3×D4—44no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C2×#4112yes—
1065#67—28no—
1066#67—44no—
1067C2×Dic3—28no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—44no—
1104C2×Dic3—82no—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C22×D412yes—
1107C2×Dic3C22×D412yes—
1108C2×Dic3C2×#4112yes—
1109D12—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—44no—
1118C4×D3—82no—
1119Dic6—44no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—34no—
1124C24—62no—
1125C24—62no—
1126C24—62no—
1127C24—62no—
1128C24—62no—
1129C24—62no—
1130C24—62no—
1131C24—62no—
1132C24—121no—
1133C24—121no—
1134C24—121no—
1135C24—121no—
1136C24—121no—
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C2×Q8—62no—
1140C2×Q8—62no—
1141C2×Q8—121no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—34no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—1216no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—34no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—41no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—1216no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—34no—
1233C4⋊C4—34no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—34no—
1272C22⋊C4—34no—
1273C22⋊C4—34no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
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—121no—
1302C22⋊C4—121no—
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⋊C4D3×D414yes—
1312C42—22no—
1313C42—22no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—121no—
1318C42—121no—
1319C42—121no—
1320C42—121no—
1321C42—121no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3#54614yes—
1336C22×C3C23×D411yescharacteristic
1337C22×C3C22×#4111yescharacteristic
1338C22×C3C22×#4111yescharacteristic
1339C22×C3C2×H(5,𝔽2)11yescharacteristic
1340C22×C3C2×2−1+411yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—416no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—88no—
1365C2×D3#55214yescomplemented
1366C3×C4—22no—
1367C3×C4—22no—
1368C3×C4—22no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376C3×C4—41no—
1377C3×C4—41no—
1378C3×C4—41no—
1379Dic3—22no—
1380Dic3—22no—
1381Dic3—22no—
1382Dic3—22no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390Dic3—41no—
1391Dic3—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—32no—
1404C23—32no—
1405C23—32no—
1406C23—32no—
1407C23—32no—
1408C23—68no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—68no—
1426C23—124no—
1427C23—124no—
1428C23—124no—
1429C23—124no—
1430C23—124no—
1431C23—124no—
1432C23—124no—
1433C23—124no—
1434C23—124no—
1435C23—242no—
1436C23—242no—
1437C23—242no—
1438C23C2×D3×D412yes—
1439C23#100412yes—
1440C23D3×#4112yes—
1441C23C24×D311yescharacteristic
1442Q8—124no—
1443D4—44no—
1444D4—68no—
1445D4—124no—
1446D4—124no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—32no—
1484C2×C4—32no—
1485C2×C4—32no—
1486C2×C4—32no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—68no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—124no—
1533C2×C4—124no—
1534C2×C4—124no—
1535C2×C4—242no—
1536C2×C4—242no—
1537C2×C4C2×D3×D412yes—
1538C2×C4C2×D3×D412yes—
1539C2×C4D3×#4112yes—
1540C2×C3—24no—
1541C2×C3—81no—
1542C2×C3C2×#54611yescharacteristic
1543C2×C3D4×#4111yescharacteristic
1544C2×C3C2×#55211yescharacteristic
1545C2×C3#348911yescharacteristic
1546C2×C3#349111yescharacteristic
1547C2×C3#351311yescharacteristic
1548C2×C3#353511yescharacteristic
1549D3—24no—
1550D3—42no—
1551D3—42no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—34no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
1577C22—62no—
1578C22—1216no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—248no—
1588C22#561214yes—
1589C22C22×D3×D411yescharacteristic
1590C22C2×#100411yescharacteristic
1591C22C2×D3×#4111yescharacteristic
1592C22C2×D3×#4111yescharacteristic
1593C22#596411yescharacteristic
1594C22D3×2−1+411yescharacteristic
1595C22#596811yescharacteristic
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—62no—
1610C4—62no—
1611C4—62no—
1612C4—62no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4—121no—
1621C4—121no—
1622C3#5901211yescharacteristic, complemented, Sylow
1623C2—24no—
1624C2—64no—
1625C2—81no—
1626C2—122no—
1627C2—122no—
1628C2C2×#561211yescharacteristic
1629C2#8604511yescharacteristic
1630C2#8635811yescharacteristic
1631C2#8667411yescharacteristic
1632C2#8667711yescharacteristic
1633C2D3×#55211yescharacteristic
1634C2#8685911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2413C2
prime radicalC22×D3×D4C22
hypercenter#2413D3
hypocenterC3#59012
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2413

Complements

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

NH ≅ G/Ntype
2. C2×#5531C2semidirect
3. C3×#2413C2semidirect
5. #82857C2semidirect
6. #82842C2semidirect
7. #82271C2semidirect
8. #82196C2semidirect
9. C2×#4989C2semidirect
10. #77971C2semidirect
11. #77788C2semidirect
12. #77756C2semidirect
13. #77756C2semidirect
14. #77418C2semidirect
15. #77357C2semidirect
16. #77319C2semidirect
17. #77303C2semidirect
18. #76205C2semidirect
19. #76111C2semidirect
20. #76022C2semidirect
21. #76002C2semidirect
22. #75832C2semidirect
23. #75674C2semidirect
24. #75539C2semidirect
25. #75506C2semidirect
27. #74741C2semidirect
28. #74413C2semidirect
29. #74395C2semidirect
30. #74065C2semidirect
31. #74050C2semidirect
37. C2×C3×#117C22semidirect
38. C22×C3×C4⋊C4C22semidirect
45. C22×Dic3⋊C4C22semidirect
48. C2×#898C22semidirect
50. C2×#896C22semidirect
55. C2×#889C22semidirect
56. C2×#889C22semidirect
65. C2×#878C22semidirect
66. C2×#877C22semidirect
67. C2×#877C22semidirect
68. C2×#876C22semidirect
69. C2×#872C22semidirect
70. C2×#870C22semidirect
71. C2×C4×Dic6C22semidirect
72. C3×#398C22semidirect
73. C3×#398C22semidirect
74. C3×#396C22semidirect
75. C3×#396C22semidirect
76. C3×#389C22semidirect
77. C3×#389C22semidirect
78. C3×#388C22semidirect
79. C3×#388C22semidirect
81. C3×#385C22semidirect
82. C3×#381C22semidirect
85. #5212C22semidirect
86. #5211C22semidirect
87. #5211C22semidirect
88. C2×C3⋊#95C22semidirect
89. C2×C3⋊#95C22semidirect
90. #4994C22semidirect
91. #4994C22semidirect
92. #4992C22semidirect
93. #4992C22semidirect
96. #4990C22semidirect
97. #4990C22semidirect
98. #4990C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
113. #4987C22semidirect
114. #4987C22semidirect
115. #4985C22semidirect
116. #4985C22semidirect
117. #4983C22semidirect
118. #4983C22semidirect
119. #4983C22semidirect
120. #4983C22semidirect
121. #4977C22semidirect
122. Dic3×C4⋊C4C22semidirect
123. #4973C22semidirect
124. #4972C22semidirect
125. #4972C22semidirect
126. #4972C22semidirect
127. #4972C22semidirect
128. #4972C22semidirect
139. #4953C22semidirect
140. #4952C22semidirect
141. #4951C22semidirect
142. #4950C22semidirect
143. #4949C22semidirect
144. #4948C22semidirect
145. #4948C22semidirect
146. #4947C22semidirect
147. #4945C22semidirect
148. #4945C22semidirect
149. #4945C22semidirect
150. #4944C22semidirect
151. #4944C22semidirect
152. #4942C22semidirect
153. Dic3×C22⋊C4C22semidirect
154. #4940C22semidirect
155. #4940C22semidirect
158. #4677C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4673C22semidirect
162. #4669C22semidirect
165. #4668C22semidirect
169. #4667C22semidirect
170. #4667C22semidirect
174. #4666C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
179. #4664C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
188. #4652C22semidirect
189. #4652C22semidirect
212. #2413D3semidirect
445. C2×#117C2×D3semidirect
449. C22×C4⋊C4C2×D3semidirect
468. #398C2×D3semidirect
469. #398C2×D3semidirect
480. #396C2×D3semidirect
481. #396C2×D3semidirect
496. #389C2×D3semidirect
497. #389C2×D3semidirect
510. #388C2×D3semidirect
511. #388C2×D3semidirect
541. #385C2×D3semidirect
546. #381C2×D3semidirect
1365. C2×D3#552semidirect
1622. C3#59012semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×#55312
C3×#24132
#828932
#828572
#828422
#822712
#821962
C2×#49892
#779712
#777882
#777562
#774182
#773572
#773192
#773032
#762052
#761112
#760222
#760022
#758322
#756742
#755392
#755062
#748782
#747412
#744132
#743952
#740652
#740502
#590123