Finite Group Databasebeta

← #11100303

Subgroups — #11100303

Order 768.

3032 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5610C211yesmaximal, characteristic, complemented
2C2×D4×D12C211yesmaximal, characteristic, complemented
3C3×#2443C211yesmaximal, characteristic, complemented
4#82905C211yesmaximal, characteristic, complemented
5#82903C211yesmaximal, characteristic, complemented
6#82702C211yesmaximal, characteristic, complemented
7#82354C211yesmaximal, characteristic, complemented
8#82195C211yesmaximal, characteristic, complemented
9C2×#4991C211yesmaximal, characteristic, complemented
10#78113C211yesmaximal, characteristic, complemented
11#78052C211yesmaximal, characteristic, complemented
12#78007C211yesmaximal, characteristic, complemented
13#77982C211yesmaximal, characteristic, complemented
14#77691C211yesmaximal, characteristic, complemented
15#77685C211yesmaximal, characteristic, complemented
16#77158C211yesmaximal, characteristic, complemented
17#77127C211yesmaximal, characteristic, complemented
18#75914C211yesmaximal, characteristic, complemented
19#75896C211yesmaximal, characteristic, complemented
20#75397C211yesmaximal, characteristic, complemented
21#75379C211yesmaximal, characteristic, complemented
22#74905C211yesmaximal, characteristic, complemented
23#74887C211yesmaximal, characteristic, complemented
24#74885C211yesmaximal, characteristic, complemented
25#74874C211yesmaximal, characteristic, complemented
26#74699C211yesmaximal, characteristic, complemented
27#74686C211yesmaximal, characteristic, complemented
28#74603C211yesmaximal, characteristic, complemented
29#74599C211yesmaximal, characteristic, complemented
30#74512C211yesmaximal, characteristic, complemented
31#74406C211yesmaximal, characteristic, complemented
32#40585—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C23×D12C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C22×C3×C4⋊C4C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×#935C2211yescharacteristic
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
55C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
56#5610—28no—
57D4×D12—28no—
58C2×#896C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#894C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×#874C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C3×#399C2211yescharacteristic, complemented
79C3×#398C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#387C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5213C2211yescharacteristic, complemented
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5211C2211yescharacteristic, complemented
95#5210C2211yescharacteristic, complemented
96#5210C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4993C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4987C2211yescharacteristic, complemented
120#4985C2211yescharacteristic, complemented
121#4983C2211yescharacteristic, complemented
122#4982C2211yescharacteristic, complemented
123#4980C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4958C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4955C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4952C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4943C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4674C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4673C2211yescharacteristic, complemented
166#4672C2211yescharacteristic
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4656C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×D42—31no—
192#2816—31no—
193#2812—31no—
194#2709—31no—
195#2708—31no—
196#2686—31no—
197#2684—31no—
198#2673—31no—
199#2671—31no—
200#2671—31no—
201#2668—31no—
202#2638—31no—
203#2635—31no—
204#2622—31no—
205#2617—31no—
206#2613—31no—
207#2600—31no—
208#2443—31no—
209#2443D311yescharacteristic, complemented
210#2430—31no—
211#2419—31no—
212#2418—31no—
213#2412—31no—
214#2410—31no—
215#2410—31no—
216#2405—31no—
217#2405—31no—
218#2404—31no—
219C2×#394—31no—
220#2308—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C2×#237—24no—
246C2×#237—42no—
247C2×#237—42no—
248C2×D3×D4—24no—
249C2×D3×D4—42no—
250C2×D3×D4—42no—
251C2×D3×D4—42no—
252C2×D3×D4—42no—
253C2×D3×D4D418yescomplemented
254C22×D12—24no—
255C22×D12—24no—
256C22×D12—42no—
257C22×D12—42no—
258C22×D12—42no—
259C22×D12—42no—
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C3×#123—42no—
279C3×#121—24no—
280C3×C4×D4—24no—
281C2×C3×C4⋊C4—42no—
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C42C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#939—24no—
310#939—42no—
311#937—24no—
312#937—24no—
313#937—42no—
314#937—42no—
315#935—24no—
316#930—24no—
317#930—24no—
318C4×#67—24no—
319C2×(C2×D3)⋊C4—24no—
320C2×(C2×D3)⋊C4—42no—
321C2×(C2×D3)⋊C4—42no—
322C2×(C2×D3)⋊C4—42no—
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#896—24no—
380#895—24no—
381#895—24no—
382#894—24no—
383#894—42no—
384#894—42no—
385#886—42no—
386#885—24no—
387#884—24no—
388#884—42no—
389#884—42no—
390#882—24no—
391#882—24no—
392#882—24no—
393#882—24no—
394#67⋊C4—24no—
395D3×C22⋊C4—24no—
396D3×C22⋊C4—42no—
397#874—24no—
398C4×D12—24no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4—31no—
431C23×D4—31no—
432C23×D4—31no—
433C23×D4—31no—
434#546—68no—
435D42—68no—
436C2×#127—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123C2×D311yescharacteristic, complemented
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4C2×D311yescharacteristic
467C22×C4⋊C4C2×D311yescharacteristic, complemented
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#399—31no—
476#399—31no—
477#399C2×D311yescharacteristic, complemented
478#398—31no—
479#398—31no—
480#398C2×D311yescharacteristic, complemented
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397C2×D311yescharacteristic, complemented
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394—31no—
517#394C2×D311yescharacteristic, complemented
518#393—31no—
519#393—31no—
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387—31no—
536#387—31no—
537#387C2×D311yescharacteristic, complemented
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
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#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#381—31no—
574#381—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
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—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3C2×D414yes—
616C23×D3C2×D414yes—
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4C2×D414yes—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67C2×D414yes—
685C2×#67C2×D414yes—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705#237—416no—
706D3×D4—416no—
707D3×D4—416no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—416no—
725C2×D12—416no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12C2×D414yes—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3C2×D414yes—
761C2×Dic6—22no—
762C2×Dic6—41no—
763C2×Dic6—41no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—41no—
769C3×C4⋊C4—41no—
770C3×C4⋊C4—41no—
771C3×C4⋊C4—41no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C42—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—41no—
789#217—41no—
790#217—41no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
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—
835C4⋊Dic3—22no—
836C4⋊Dic3—41no—
837C4⋊Dic3—41no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—41no—
843Dic3⋊C4—41no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846C4×Dic3—22no—
847C25—31no—
848C25—31no—
849C25—31no—
850C25—31no—
851C2×#41—64no—
852C2×#41—122no—
853C2×#41—122no—
854C22×Q8—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—38no—
858C22×D4—31no—
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—31no—
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
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4C22×D311yescharacteristic
901C23×C4C22×D311yescharacteristic
902C23×C4C22×D311yescharacteristic
903C23×C4C22×D311yescharacteristic
904#127—64no—
905#124—64no—
906#123—42no—
907#123—64no—
908#123—64no—
909#123—122no—
910#123—122no—
911#123—122no—
912C22⋊Q8—64no—
913#121—24no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—64no—
924#120—64no—
925#120—64no—
926#120—64no—
927#120—64no—
928#120—64no—
929#120—122no—
930#120—122no—
931C4×D4—24no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—64no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4C22×D311yescharacteristic
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—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—64no—
1007C2×C22⋊C4—64no—
1008C2×C22⋊C4—122no—
1009C2×C22⋊C4—122no—
1010C2×C22⋊C4—122no—
1011C2×C22⋊C4—122no—
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C42—31no—
1024C2×C42C22×D311yescharacteristic
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
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#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053#95C22×D311yescharacteristic
1054#95C22×D311yescharacteristic
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3C22×D412yes—
1073C23×C3C22×D412yes—
1074C23×C3H(5,𝔽2)12yes—
1075C23×C3H(5,𝔽2)12yes—
1076C23×C3C2511yescharacteristic
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—28no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—44no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3—82no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3C22×D412yes—
1144C22×D3C22×D412yes—
1145C22×D3C22×D412yes—
1146C22×D3H(5,𝔽2)12yes—
1147C3×D4—28no—
1148C3×D4—44no—
1149C3×D4—82no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
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—44no—
1185C2×C3×C4—44no—
1186C2×C3×C4—44no—
1187C2×C3×C4—82no—
1188C2×C3×C4C22×D412yes—
1189C2×C3×C4H(5,𝔽2)12yes—
1190#67—28no—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—82no—
1197#67—82no—
1198#67—82no—
1199#67—82no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
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—44no—
1230C2×Dic3—44no—
1231C2×Dic3—82no—
1232C2×Dic3C22×D412yes—
1233D12—28no—
1234D12—44no—
1235D12—44no—
1236D12—44no—
1237D12—44no—
1238D12—44no—
1239D12—44no—
1240D12—44no—
1241D12—44no—
1242D12—82no—
1243D12—82no—
1244C4×D3—44no—
1245C4×D3—44no—
1246C4×D3—44no—
1247C4×D3—82no—
1248C4×D3—82no—
1249C4×D3—82no—
1250Dic6—44no—
1251C24—31no—
1252C24—31no—
1253C24—31no—
1254C24—31no—
1255C24—34no—
1256C24—34no—
1257C24—31no—
1258C24—31no—
1259C24—62no—
1260C24—62no—
1261C24—62no—
1262C24—62no—
1263C24—62no—
1264C24—62no—
1265C24—62no—
1266C24—62no—
1267C24—121no—
1268C24—121no—
1269C24—121no—
1270C24—121no—
1271C24—121no—
1272C24—121no—
1273C24—121no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24—121no—
1283C24—121no—
1284C24—121no—
1285C24C23×D311yescharacteristic
1286C24C23×D311yescharacteristic
1287C24C23×D311yescharacteristic
1288#41—1216no—
1289C2×Q8—62no—
1290C2×Q8—121no—
1291C2×Q8—121no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—34no—
1299C2×D4—34no—
1300C2×D4—34no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
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—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—1216no—
1346C2×D4—1216no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
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—1216no—
1366C2×D4—1216no—
1367C2×D4D3×D414yes—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—31no—
1375C22×C4—34no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
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—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4—121no—
1405C22×C4—121no—
1406C22×C4—121no—
1407C22×C4—121no—
1408C22×C4—121no—
1409C22×C4—121no—
1410C22×C4—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4C23×D311yescharacteristic
1418C22×C4C23×D311yescharacteristic
1419C22×C4C23×D311yescharacteristic
1420C22×C4C23×D311yescharacteristic
1421C22×C4C23×D311yescharacteristic
1422C22×C4C23×D311yescharacteristic
1423C22×C4C23×D311yescharacteristic
1424C22×C4C23×D311yescharacteristic
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—62no—
1438C4⋊C4—62no—
1439C4⋊C4—62no—
1440C4⋊C4—62no—
1441C4⋊C4—62no—
1442C4⋊C4—121no—
1443C4⋊C4—121no—
1444C4⋊C4—121no—
1445C4⋊C4—121no—
1446C4⋊C4—121no—
1447C4⋊C4—121no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
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—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
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—
1510C42—22no—
1511C42—62no—
1512C22×C3—22no—
1513C22×C3—22no—
1514C22×C3—22no—
1515C22×C3—22no—
1516C22×C3—22no—
1517C22×C3—22no—
1518C22×C3—22no—
1519C22×C3—22no—
1520C22×C3—22no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3#53414yes—
1533C22×C3C23×D411yescharacteristic
1534C22×C3C2×H(5,𝔽2)11yescharacteristic
1535C22×C3C2×H(5,𝔽2)11yescharacteristic
1536C22×C3C2×H(5,𝔽2)11yescharacteristic
1537C22×C3C2×H(5,𝔽2)11yescharacteristic
1538C22×C3#58511yescharacteristic
1539C22×C3#58511yescharacteristic
1540C2×D3—22no—
1541C2×D3—22no—
1542C2×D3—22no—
1543C2×D3—22no—
1544C2×D3—22no—
1545C2×D3—22no—
1546C2×D3—22no—
1547C2×D3—22no—
1548C2×D3—22no—
1549C2×D3—22no—
1550C2×D3—22no—
1551C2×D3—22no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—88no—
1583C2×D3—88no—
1584C2×D3—88no—
1585C2×D3—88no—
1586C3×C4—22no—
1587C3×C4—22no—
1588C3×C4—41no—
1589C3×C4—41no—
1590C3×C4—41no—
1591C3×C4—41no—
1592C3×C4—41no—
1593C3×C4—41no—
1594C3×C4—41no—
1595C3×C4—41no—
1596C3×C4—41no—
1597C3×C4—41no—
1598Dic3—22no—
1599Dic3—41no—
1600Dic3—41no—
1601Dic3—41no—
1602Dic3—41no—
1603Dic3—41no—
1604Dic3—41no—
1605Dic3—41no—
1606Dic3—41no—
1607Dic3—41no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—32no—
1626C23—32no—
1627C23—32no—
1628C23—32no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—68no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—124no—
1669C23—124no—
1670C23—124no—
1671C23—124no—
1672C23—124no—
1673C23—124no—
1674C23—124no—
1675C23—124no—
1676C23—124no—
1677C23—124no—
1678C23—124no—
1679C23—242no—
1680C23—242no—
1681C23—242no—
1682C23—242no—
1683C23—242no—
1684C23—242no—
1685C23—242no—
1686C23—242no—
1687C23—242no—
1688C23—242no—
1689C23—242no—
1690C23—242no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23C2×D3×D412yes—
1696C23C2×D3×D412yes—
1697C23#100912yes—
1698C23#100912yes—
1699C23C24×D311yescharacteristic
1700Q8—124no—
1701D4—28no—
1702D4—44no—
1703D4—68no—
1704D4—68no—
1705D4—82no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—124no—
1716D4—124no—
1717D4—124no—
1718D4—124no—
1719D4—242no—
1720D4—242no—
1721D4—242no—
1722D4—242no—
1723D4—242no—
1724D4—242no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
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—32no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
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—82no—
1793C2×C4—124no—
1794C2×C4—124no—
1795C2×C4—124no—
1796C2×C4—124no—
1797C2×C4—124no—
1798C2×C4—242no—
1799C2×C4—242no—
1800C2×C4—242no—
1801C2×C4—242no—
1802C2×C4C2×D3×D412yes—
1803C2×C4#100412yes—
1804C2×C3—24no—
1805C2×C3—42no—
1806C2×C3—81no—
1807C2×C3C2×#53411yescharacteristic
1808C2×C3#348411yescharacteristic
1809C2×C3#348511yescharacteristic
1810C2×C3#353411yescharacteristic
1811C2×C3#353411yescharacteristic
1812C2×C3#354211yescharacteristic
1813C2×C3#355811yescharacteristic
1814D3—42no—
1815D3—42no—
1816D3—42no—
1817D3—42no—
1818D3—81no—
1819D3—81no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—62no—
1841C22—62no—
1842C22—62no—
1843C22—62no—
1844C22—62no—
1845C22—62no—
1846C22—62no—
1847C22—62no—
1848C22—62no—
1849C22—62no—
1850C22—62no—
1851C22—62no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—248no—
1883C22—248no—
1884C22—248no—
1885C22—248no—
1886C22#565314yes—
1887C22C22×D3×D411yescharacteristic
1888C22C2×#100411yescharacteristic
1889C22C2×#100911yescharacteristic
1890C22C2×#100911yescharacteristic
1891C22#596411yescharacteristic
1892C22D3×H(5,𝔽2)11yescharacteristic
1893C22#596811yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—62no—
1907C4—121no—
1908C4—121no—
1909C4—121no—
1910C4—121no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C4—121no—
1915C4—121no—
1916C3#4058511yescharacteristic, complemented, Sylow
1917C2—24no—
1918C2—42no—
1919C2—81no—
1920C2—122no—
1921C2—122no—
1922C2—122no—
1923C2—122no—
1924C2—241no—
1925C2—241no—
1926C2C2×#565311yescharacteristic
1927C2#8603311yescharacteristic
1928C2#8645811yescharacteristic
1929C2#8662011yescharacteristic
1930C2#8670011yescharacteristic
1931C2#8673011yescharacteristic
1932C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2443C2
hypercenter#2443D3
hypocenterC3#40585
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#5610C2semidirect
2. C2×D4×D12C2semidirect
3. C3×#2443C2semidirect
4. #82905C2semidirect
5. #82903C2semidirect
6. #82702C2semidirect
7. #82354C2semidirect
8. #82195C2semidirect
9. C2×#4991C2semidirect
10. #78113C2semidirect
11. #78052C2semidirect
12. #78007C2semidirect
13. #77982C2semidirect
14. #77691C2semidirect
15. #77685C2semidirect
16. #77158C2semidirect
17. #77127C2semidirect
18. #75914C2semidirect
19. #75896C2semidirect
20. #75397C2semidirect
21. #75379C2semidirect
22. #74905C2semidirect
23. #74887C2semidirect
24. #74885C2semidirect
25. #74874C2semidirect
26. #74699C2semidirect
27. #74686C2semidirect
28. #74603C2semidirect
29. #74599C2semidirect
30. #74512C2semidirect
31. #74406C2semidirect
33. C22×#237C22semidirect
38. C2×C3×#123C22semidirect
41. C22×C3×C4⋊C4C22semidirect
42. C2×#939C22semidirect
43. C2×#939C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
46. C2×#937C22semidirect
47. C2×#937C22semidirect
51. C2×C4×#67C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
54. C22×(C2×D3)⋊C4C22semidirect
55. C22×(C2×D3)⋊C4C22semidirect
58. C2×#896C22semidirect
61. C2×#894C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
64. C2×#886C22semidirect
65. C2×#885C22semidirect
66. C2×#884C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
78. C3×#399C22semidirect
79. C3×#398C22semidirect
80. C3×#397C22semidirect
81. C3×#394C22semidirect
82. C3×#388C22semidirect
83. C3×#387C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
87. C3×#385C22semidirect
88. C3×#385C22semidirect
89. #5223C22semidirect
91. #5213C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5211C22semidirect
95. #5210C22semidirect
96. #5210C22semidirect
97. C2×C3⋊#95C22semidirect
98. #4993C22semidirect
99. #4993C22semidirect
100. #4992C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4990C22semidirect
115. #4990C22semidirect
116. #4989C22semidirect
117. #4989C22semidirect
118. #4987C22semidirect
119. #4987C22semidirect
120. #4985C22semidirect
121. #4983C22semidirect
122. #4982C22semidirect
123. #4980C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4958C22semidirect
141. #4958C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4955C22semidirect
146. #4955C22semidirect
147. #4955C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4955C22semidirect
151. #4952C22semidirect
152. #4952C22semidirect
153. #4950C22semidirect
154. #4943C22semidirect
155. #4942C22semidirect
156. #4933C22semidirect
157. #4933C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4674C22semidirect
162. #4674C22semidirect
163. #4673C22semidirect
164. #4673C22semidirect
165. #4673C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4664C22semidirect
188. #4664C22semidirect
189. #4656C22semidirect
209. #2443D3semidirect
253. C2×D3×D4D4semidirect
443. C2×#123C2×D3semidirect
467. C22×C4⋊C4C2×D3semidirect
477. #399C2×D3semidirect
480. #398C2×D3semidirect
489. #397C2×D3semidirect
517. #394C2×D3semidirect
533. #388C2×D3semidirect
537. #387C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
1916. C3#40585semidirect

Maximal subgroups

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

subgroupindex
C2×#56102
C2×D4×D122
C3×#24432
#829052
#829032
#827022
#823542
#821952
C2×#49912
#781132
#780522
#780072
#779822
#776912
#776852
#771582
#771272
#759142
#758962
#753972
#753792
#749052
#748872
#748852
#748742
#746992
#746862
#746032
#745992
#745122
#744062
#405853