Finite Group Databasebeta

← #11024896

Subgroups — #11024896

Order 768.

3176 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C22×#895C211yesmaximal, characteristic, complemented
3C3×#2481C211yesmaximal, characteristic, complemented
4#83117C211yesmaximal, characteristic, complemented
5#82175C211yesmaximal, characteristic, complemented
6#78365C211yesmaximal, characteristic, complemented
7#78361C211yesmaximal, characteristic, complemented
8#78343C211yesmaximal, characteristic, complemented
9#78241C211yesmaximal, characteristic, complemented
10#77694C211yesmaximal, characteristic, complemented
11#77684C211yesmaximal, characteristic, complemented
12#77429C211yesmaximal, characteristic, complemented
13#77416C211yesmaximal, characteristic, complemented
14#75846C211yesmaximal, characteristic, complemented
15#75683C211yesmaximal, characteristic, complemented
16#75389C211yesmaximal, characteristic, complemented
17#75320C211yesmaximal, characteristic, complemented
18#75298C211yesmaximal, characteristic, complemented
19#75160C211yesmaximal, characteristic, complemented
20#74890C211yesmaximal, characteristic, complemented
21#74887C211yesmaximal, characteristic, complemented
22#74884C211yesmaximal, characteristic, complemented
23#74884C211yesmaximal, characteristic, complemented
24D3×#386C211yesmaximal, characteristic, complemented
25#74727C211yesmaximal, characteristic, complemented
26#74655C211yesmaximal, characteristic, complemented
27#74601C211yesmaximal, characteristic, complemented
28#74018C211yesmaximal, characteristic, complemented
29#74007C211yesmaximal, characteristic, complemented
30#73594C211yesmaximal, characteristic, complemented
31C22⋊C4×D12C211yesmaximal, characteristic, complemented
32#37693—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×D12C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic
38C2×C3×#126C2211yescharacteristic, complemented
39C22×C3×C4⋊C4C2211yescharacteristic, complemented
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
43C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
44#5704—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic, complemented
48C2×#895—28no—
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#893C2211yescharacteristic, complemented
61C2×#893C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#875C2211yescharacteristic, complemented
79C2×C4×D12C2211yescharacteristic, complemented
80C2×C4×D12C2211yescharacteristic, complemented
81C3×#400C2211yescharacteristic, complemented
82C3×#400C2211yescharacteristic, complemented
83C3×#397C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#387C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C3×#386C2211yescharacteristic
91C3×#385C2211yescharacteristic, complemented
92C3×#380C2211yescharacteristic, complemented
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94#5220C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5212C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100C4×#217C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4985C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4955C2211yescharacteristic
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic, complemented
135#4955C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4939C2211yescharacteristic, complemented
140#4939C2211yescharacteristic, complemented
141#4939C2211yescharacteristic, complemented
142#4675C2211yescharacteristic, complemented
143#4675C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4674C2211yescharacteristic, complemented
146#4674C2211yescharacteristic, complemented
147#4673C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4672C2211yescharacteristic, complemented
150#4672C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4672C2211yescharacteristic, complemented
154#4671C2211yescharacteristic, complemented
155#4671C2211yescharacteristic, complemented
156#4671C2211yescharacteristic, complemented
157#4671C2211yescharacteristic, complemented
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4667C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, 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#4664C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188D3×#95C2211yescharacteristic, complemented
189D3×#95C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#121—31no—
192#2848—31no—
193#2714—31no—
194#2714—31no—
195#2703—31no—
196#2703—31no—
197#2688—31no—
198#2688—31no—
199#2676—31no—
200#2676—31no—
201#2639—31no—
202#2617—31no—
203#2481—31no—
204#2481D311yescharacteristic, complemented
205#2472—31no—
206#2472—31no—
207#2444—31no—
208#2444—31no—
209#2424—31no—
210#2424—31no—
211#2412—31no—
212#2412—31no—
213#2410—31no—
214#2410—31no—
215#2403—31no—
216#2403—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2325—31no—
220C2×#386—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×D4—24no—
237C2×D3×D4—42no—
238C2×D3×D4—42no—
239C22×D12—24no—
240C22×D12—24no—
241C22×D12—24no—
242C22×D12—24no—
243C22×D12—24no—
244C22×D12—42no—
245C22×D12—42no—
246C22×D12—42no—
247C22×D12—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×C4×D3—24no—
266C22×C4×D3—42no—
267C22×C4×D3—42no—
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×Dic6C2311yescharacteristic
280C3×#126—24no—
281C2×C3×C4⋊C4—24no—
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×C42C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306#937—42no—
307#937—42no—
308C2×(C2×D3)⋊C4—24no—
309C2×(C2×D3)⋊C4—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×(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×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367#898—24no—
368#896—24no—
369#896—42no—
370#895—24no—
371#895—24no—
372#895—24no—
373#895—24no—
374#895—24no—
375#895—24no—
376#895—24no—
377#895—24no—
378#895—42no—
379#895D418yescomplemented
380#894—24no—
381#893—24no—
382#893—42no—
383#885—24no—
384#884—24no—
385#884—42no—
386#883—24no—
387#882—24no—
388#882—24no—
389#882—42no—
390#882—42no—
391#882—42no—
392#882—42no—
393D3×C22⋊C4—24no—
394D3×C22⋊C4—42no—
395D3×C22⋊C4—42no—
396D3×C22⋊C4—42no—
397D3×C22⋊C4—42no—
398#878—42no—
399#875—24no—
400C4×D12—24no—
401C4×D12—42no—
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
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C24×C4—31no—
437#538—68no—
438C2×#126—31no—
439C2×#126C2×D311yescharacteristic, complemented
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—68no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C22×C4⋊C4C2×D311yescharacteristic, complemented
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400—31no—
482#400C2×D311yescharacteristic, complemented
483#400C2×D311yescharacteristic, complemented
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397—31no—
491#397C2×D311yescharacteristic, complemented
492#396—31no—
493#396C2×D311yescharacteristic, complemented
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#393—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388C2×D311yescharacteristic, complemented
532#387—31no—
533#387—31no—
534#387C2×D311yescharacteristic, complemented
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
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#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386C2×D311yescharacteristic
564#386C2×D311yescharacteristic
565#386C2×D311yescharacteristic
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#381—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380C2×D311yescharacteristic, complemented
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4C2×D311yescharacteristic, complemented
587C2×#95—31no—
588C2×#95—31no—
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3#4114yes—
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—41no—
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681D3×D4—416no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—416no—
709C2×D12—416no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—416no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12C2×D414yes—
734C2×D12C2×D414yes—
735C2×D12C2×D414yescomplemented
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
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—416no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3—41no—
768C2×C4×D3—41no—
769C2×C4×D3C2×D414yes—
770C2×Dic6—22no—
771C2×Dic6—41no—
772C2×Dic6—41no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—22no—
775C3×C4⋊C4—22no—
776C3×C4⋊C4—22no—
777C3×C4⋊C4—22no—
778C3×C4⋊C4—22no—
779C3×C4⋊C4—41no—
780C3×C4⋊C4C2×D414yescomplemented
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—22no—
787C3×C22⋊C4—22no—
788C3×C22⋊C4—41no—
789C3×C22⋊C4—41no—
790C3×C42—22no—
791C3×C42—41no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—41no—
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—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—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—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4C2×D414yescomplemented
842(C2×D3)⋊C4C2×D414yescomplemented
843C4⋊Dic3—22no—
844C4⋊Dic3—41no—
845C4⋊Dic3—41no—
846Dic3⋊C4—22no—
847Dic3⋊C4—22no—
848Dic3⋊C4—22no—
849Dic3⋊C4—41no—
850Dic3⋊C4—41no—
851Dic3⋊C4—41no—
852C4×Dic3—22no—
853C4×Dic3—41no—
854C25—31no—
855C25—31no—
856C25—31no—
857C25—31no—
858C22×Q8—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—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—64no—
883C22×D4—64no—
884C22×D4—64no—
885C22×D4—64no—
886C22×D4—64no—
887C22×D4—64no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4—122no—
893C22×D4—122no—
894C22×D4C22×D311yescharacteristic
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—64no—
908C23×C4—122no—
909C23×C4—122no—
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912C23×C4C22×D311yescharacteristic
913#126—24no—
914#126—64no—
915#124—64no—
916#124—64no—
917#123—64no—
918#123—64no—
919C22⋊Q8—64no—
920C22⋊Q8—122no—
921C22⋊Q8—122no—
922#121—38no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—122no—
933#121—122no—
934#120—64no—
935#120—64no—
936#120—122no—
937#120—122no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4—122no—
1020C2×C22⋊C4—122no—
1021C2×C22⋊C4—122no—
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42C22×D311yescharacteristic
1034C2×C42C22×D311yescharacteristic
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#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95C22×D311yescharacteristic
1054#95C22×D311yescharacteristic
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3C2×#4112yes—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3H(5,𝔽2)12yes—
1079C23×C3C2511yescharacteristic
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—28no—
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—21no—
1102C22×D3—21no—
1103C22×D3—28no—
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—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3C22×D412yes—
1152C22×D3C22×D412yes—
1153C22×D3C22×D412yes—
1154C22×D3C2×#4112yes—
1155C22×D3C2×#4112yes—
1156C22×D3H(5,𝔽2)12yes—
1157C3×D4—44no—
1158C2×C3×C4—28no—
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—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—44no—
1195C2×C3×C4—44no—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4C22×D412yes—
1199C2×C3×C4H(5,𝔽2)12yes—
1200#67—44no—
1201#67—44no—
1202#67—82no—
1203#67—82no—
1204#67—82no—
1205#67—82no—
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—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—44no—
1233C2×Dic3C22×D412yes—
1234D12—28no—
1235D12—28no—
1236D12—44no—
1237D12—44no—
1238D12—44no—
1239D12—44no—
1240D12—44no—
1241D12—44no—
1242D12—44no—
1243D12—44no—
1244D12—44no—
1245D12—44no—
1246D12—44no—
1247D12—82no—
1248D12—82no—
1249D12—82no—
1250D12—82no—
1251C4×D3—44no—
1252C4×D3—44no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—44no—
1256C4×D3—82no—
1257C4×D3—82no—
1258C4×D3—82no—
1259C4×D3—82no—
1260C4×D3—82no—
1261C4×D3—82no—
1262Dic6—82no—
1263C24—31no—
1264C24—31no—
1265C24—31no—
1266C24—31no—
1267C24—34no—
1268C24—31no—
1269C24—31no—
1270C24—31no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—62no—
1284C24—62no—
1285C24—62no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24—121no—
1295C24—121no—
1296C24—121no—
1297C24—121no—
1298C24C23×D311yescharacteristic
1299C24C23×D311yescharacteristic
1300C2×Q8—62no—
1301C2×Q8—121no—
1302C2×Q8—121no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—34no—
1307C2×D4—34no—
1308C2×D4—34no—
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—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—1216no—
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—1216no—
1365C2×D4—1216no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—1216no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—31no—
1387C22×C4—34no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—41no—
1397C22×C4—41no—
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—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4—121no—
1428C22×C4—121no—
1429C22×C4—121no—
1430C22×C4—121no—
1431C22×C4—121no—
1432C22×C4—1216no—
1433C22×C4—121no—
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C22×C4C23×D311yescharacteristic
1440C22×C4C23×D311yescharacteristic
1441C22×C4C23×D311yescharacteristic
1442C22×C4C23×D311yescharacteristic
1443C22×C4C23×D311yescharacteristic
1444C22×C4C23×D311yescharacteristic
1445C22×C4C23×D311yescharacteristic
1446C22×C4C23×D311yescharacteristic
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—41no—
1454C4⋊C4—62no—
1455C4⋊C4—62no—
1456C4⋊C4—62no—
1457C4⋊C4—62no—
1458C4⋊C4—121no—
1459C4⋊C4—121no—
1460C4⋊C4—121no—
1461C4⋊C4—121no—
1462C4⋊C4—121no—
1463C4⋊C4D3×D414yescomplemented
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—34no—
1472C22⋊C4—34no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4—121no—
1520C22⋊C4—121no—
1521C22⋊C4—121no—
1522C22⋊C4—121no—
1523C22⋊C4—121no—
1524C42—22no—
1525C42—41no—
1526C42—62no—
1527C42—121no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3#53814yescomplemented
1542C22×C3C23×D411yescharacteristic
1543C22×C3C22×#4111yescharacteristic
1544C22×C3C2×H(5,𝔽2)11yescharacteristic
1545C22×C3C2×H(5,𝔽2)11yescharacteristic
1546C22×C3C2×H(5,𝔽2)11yescharacteristic
1547C22×C3C2×H(5,𝔽2)11yescharacteristic
1548C22×C3#58511yescharacteristic
1549C2×D3—22no—
1550C2×D3—22no—
1551C2×D3—22no—
1552C2×D3—22no—
1553C2×D3—22no—
1554C2×D3—22no—
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—416no—
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—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—41no—
1598C2×D3—88no—
1599C2×D3—88no—
1600C2×D3—88no—
1601C2×D3#54614yes—
1602C3×C4—22no—
1603C3×C4—22no—
1604C3×C4—22no—
1605C3×C4—22no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611C3×C4—41no—
1612C3×C4—41no—
1613C3×C4—41no—
1614C3×C4—41no—
1615Dic3—22no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622Dic3—41no—
1623Dic3—41no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—32no—
1636C23—32no—
1637C23—32no—
1638C23—32no—
1639C23—32no—
1640C23—32no—
1641C23—68no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—68no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
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—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—124no—
1701C23—124no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23—242no—
1710C23—242no—
1711C23—242no—
1712C23D3×#4112yes—
1713C23#100912yes—
1714C23#100912yes—
1715C23C24×D311yescharacteristic
1716Q8—242no—
1717D4—44no—
1718D4—68no—
1719D4—68no—
1720D4—124no—
1721D4—124no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—242no—
1734D4—242no—
1735D4—242no—
1736D4—242no—
1737D4—242no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
1741C2×C4—28no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—32no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—124no—
1807C2×C4—124no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—124no—
1812C2×C4—242no—
1813C2×C4—242no—
1814C2×C4—242no—
1815C2×C4—242no—
1816C2×C4—242no—
1817C2×C4—242no—
1818C2×C4C2×D3×D412yes—
1819C2×C4C2×D3×D412yes—
1820C2×C4C2×D3×D412yes—
1821C2×C4#100912yes—
1822C2×C3—24no—
1823C2×C3—81no—
1824C2×C3C2×#53811yescharacteristic
1825C2×C3C2×#54611yescharacteristic
1826C2×C3#348411yescharacteristic
1827C2×C3#348811yescharacteristic
1828C2×C3#350511yescharacteristic
1829C2×C3#353411yescharacteristic
1830C2×C3#353711yescharacteristic
1831D3—24no—
1832D3—42no—
1833D3—42no—
1834D3—42no—
1835D3—81no—
1836D3—81no—
1837D3—81no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—34no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
1857C22—62no—
1858C22—62no—
1859C22—62no—
1860C22—62no—
1861C22—62no—
1862C22—62no—
1863C22—62no—
1864C22—62no—
1865C22—62no—
1866C22—62no—
1867C22—1216no—
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—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—248no—
1902C22—248no—
1903C22—248no—
1904C22#570414yescomplemented
1905C22C22×D3×D411yescharacteristic
1906C22C2×D3×#4111yescharacteristic
1907C22C2×#100911yescharacteristic
1908C22C2×#100911yescharacteristic
1909C22C2×#100911yescharacteristic
1910C22D3×H(5,𝔽2)11yescharacteristic
1911C22#596811yescharacteristic
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—62no—
1926C4—121no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C4—121no—
1931C4—121no—
1932C4—121no—
1933C4—121no—
1934C3#3769311yescharacteristic, complemented, Sylow
1935C2—24no—
1936C2—64no—
1937C2—81no—
1938C2—122no—
1939C2—122no—
1940C2—122no—
1941C2—241no—
1942C2—241no—
1943C2—241no—
1944C2#8603911yescharacteristic
1945C2C2×#570411yescharacteristic
1946C2#8645811yescharacteristic
1947C2D3×#54611yescharacteristic
1948C2#8671311yescharacteristic
1949C2#8686211yescharacteristic
1950C2#8691611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2481C2
hypercenter#2481D3
hypocenterC3#37693
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C22×#895C2semidirect
3. C3×#2481C2semidirect
4. #83117C2semidirect
5. #82175C2semidirect
6. #78365C2semidirect
7. #78361C2semidirect
8. #78343C2semidirect
9. #78241C2semidirect
10. #77694C2semidirect
11. #77684C2semidirect
12. #77429C2semidirect
13. #77416C2semidirect
14. #75846C2semidirect
15. #75683C2semidirect
16. #75389C2semidirect
17. #75320C2semidirect
18. #75298C2semidirect
19. #75160C2semidirect
20. #74890C2semidirect
21. #74887C2semidirect
22. #74884C2semidirect
23. #74884C2semidirect
24. D3×#386C2semidirect
25. #74727C2semidirect
26. #74655C2semidirect
27. #74601C2semidirect
28. #74018C2semidirect
29. #74007C2semidirect
30. #73594C2semidirect
31. C22⋊C4×D12C2semidirect
36. C23×D12C22semidirect
38. C2×C3×#126C22semidirect
39. C22×C3×C4⋊C4C22semidirect
42. C22×(C2×D3)⋊C4C22semidirect
43. C22×(C2×D3)⋊C4C22semidirect
45. C2×#898C22semidirect
46. C2×#896C22semidirect
47. C2×#896C22semidirect
53. C2×#895C22semidirect
54. C2×#895C22semidirect
55. C2×#895C22semidirect
56. C2×#895C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
59. C2×#894C22semidirect
60. C2×#893C22semidirect
61. C2×#893C22semidirect
62. C2×#885C22semidirect
63. C2×#884C22semidirect
64. C2×#884C22semidirect
65. C2×#883C22semidirect
68. C2×#882C22semidirect
69. C2×#882C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#875C22semidirect
79. C2×C4×D12C22semidirect
80. C2×C4×D12C22semidirect
81. C3×#400C22semidirect
82. C3×#400C22semidirect
83. C3×#397C22semidirect
84. C3×#396C22semidirect
85. C3×#388C22semidirect
86. C3×#387C22semidirect
87. C3×#387C22semidirect
91. C3×#385C22semidirect
92. C3×#380C22semidirect
93. C3×C4×C22⋊C4C22semidirect
98. #5212C22semidirect
99. #5210C22semidirect
100. C4×#217C22semidirect
101. #4994C22semidirect
102. #4992C22semidirect
103. #4992C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4990C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4988C22semidirect
112. #4988C22semidirect
113. #4986C22semidirect
114. #4985C22semidirect
115. #4980C22semidirect
116. #4978C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
128. #4957C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
134. #4955C22semidirect
135. #4955C22semidirect
136. #4942C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4939C22semidirect
140. #4939C22semidirect
141. #4939C22semidirect
142. #4675C22semidirect
143. #4675C22semidirect
144. #4675C22semidirect
145. #4674C22semidirect
146. #4674C22semidirect
147. #4673C22semidirect
148. #4673C22semidirect
149. #4672C22semidirect
150. #4672C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
153. #4672C22semidirect
154. #4671C22semidirect
155. #4671C22semidirect
156. #4671C22semidirect
157. #4671C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4670C22semidirect
161. #4669C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
165. #4667C22semidirect
166. #4667C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4664C22semidirect
187. #4664C22semidirect
188. D3×#95C22semidirect
189. D3×#95C22semidirect
204. #2481D3semidirect
379. #895D4semidirect
439. C2×#126C2×D3semidirect
472. C22×C4⋊C4C2×D3semidirect
482. #400C2×D3semidirect
483. #400C2×D3semidirect
491. #397C2×D3semidirect
493. #396C2×D3semidirect
531. #388C2×D3semidirect
534. #387C2×D3semidirect
535. #387C2×D3semidirect
573. #385C2×D3semidirect
580. #380C2×D3semidirect
586. C4×C22⋊C4C2×D3semidirect
735. C2×D12C2×D4semidirect
780. C3×C4⋊C4C2×D4semidirect
841. (C2×D3)⋊C4C2×D4semidirect
842. (C2×D3)⋊C4C2×D4semidirect
1463. C4⋊C4D3×D4semidirect
1541. C22×C3#538semidirect
1904. C22#5704semidirect
1934. C3#37693semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C22×#8952
C3×#24812
#831172
#821752
#783652
#783612
#783432
#782412
#776942
#776842
#774292
#774162
#758462
#756832
#753892
#753202
#752982
#751602
#748902
#748872
#748842
D3×#3862
#747272
#746552
#746012
#740182
#740072
#735942
C22⋊C4×D122
#376933