Finite Group Databasebeta

← #10981968

Subgroups — #10981968

Order 768.

3012 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5654C211yesmaximal, characteristic, complemented
2C2×#5521C211yesmaximal, characteristic, complemented
3C3×#2470C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82280C211yesmaximal, characteristic, complemented
6#78344C211yesmaximal, characteristic, complemented
7#78212C211yesmaximal, characteristic, complemented
8#77685C211yesmaximal, characteristic, complemented
9#77474C211yesmaximal, characteristic, complemented
10#77416C211yesmaximal, characteristic, complemented
11#77281C211yesmaximal, characteristic, complemented
12#77114C211yesmaximal, characteristic, complemented
13D3×#394C211yesmaximal, characteristic, complemented
14#76225C211yesmaximal, characteristic, complemented
15#76209C211yesmaximal, characteristic, complemented
16#76206C211yesmaximal, characteristic, complemented
17#76096C211yesmaximal, characteristic, complemented
18#75896C211yesmaximal, characteristic, complemented
19#75846C211yesmaximal, characteristic, complemented
20#75846C211yesmaximal, characteristic, complemented
21#75833C211yesmaximal, characteristic, complemented
22#75377C211yesmaximal, characteristic, complemented
23#75309C211yesmaximal, characteristic, complemented
24#74884C211yesmaximal, characteristic, complemented
25#74730C211yesmaximal, characteristic, complemented
26#74601C211yesmaximal, characteristic, complemented
27#74596C211yesmaximal, characteristic, complemented
28#74444C211yesmaximal, characteristic, complemented
29#74404C211yesmaximal, characteristic, complemented
30#73580C211yesmaximal, characteristic, complemented
31#73577C211yesmaximal, characteristic, complemented
32#35714—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C23×D12C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic, complemented
41C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
42C2×#926C2211yescharacteristic, complemented
43#5654—28no—
44#5521—28no—
45C2×#896C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic, complemented
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic, complemented
56C2×#893C2211yescharacteristic, complemented
57C2×#892C2211yescharacteristic, complemented
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×#885C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic, complemented
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
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×C4×D12C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic
79C2×C4×D12C2211yescharacteristic, complemented
80C2×C4×D12C2211yescharacteristic, complemented
81C2×C4×D12C2211yescharacteristic, complemented
82C3×#400C2211yescharacteristic, complemented
83C3×#397C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic
86C3×#389C2211yescharacteristic, complemented
87C3×#389C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#388C2211yescharacteristic, complemented
90C3×#387C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic
92C3×#385C2211yescharacteristic, complemented
93C3×#385C2211yescharacteristic, complemented
94C3×C4×C22⋊C4C2211yescharacteristic, complemented
95#5222C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4988C2211yescharacteristic, complemented
117#4987C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120Dic3×C4⋊C4C2211yescharacteristic, complemented
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic, complemented
137#4952C2211yescharacteristic, complemented
138#4951C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4945C2211yescharacteristic, complemented
141#4944C2211yescharacteristic, complemented
142Dic3×C22⋊C4C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145#4939C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4672C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4671C2211yescharacteristic
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#518—31no—
192#2635—31no—
193#2630—31no—
194#2622—31no—
195#2602—31no—
196#2600—31no—
197#2476—31no—
198#2476—31no—
199#2474—31no—
200#2472—31no—
201#2470D311yescharacteristic, complemented
202#2450—31no—
203#2449—31no—
204#2424—31no—
205#2424—31no—
206#2424—31no—
207#2424—31no—
208#2418—31no—
209#2414—31no—
210#2410—31no—
211#2407—31no—
212#2403—31no—
213#2392—31no—
214#2388—31no—
215C2×#394—31no—
216#2364—31no—
217#2361—31no—
218#2358—31no—
219#2358—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×D3×D4—24no—
235C2×D3×D4—42no—
236C2×D3×D4—42no—
237C2×#235—24no—
238C2×#235—42no—
239C2×#235—42no—
240C22×D12—24no—
241C22×D12—24no—
242C22×D12—24no—
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C3×#123—24no—
269C3×#117—24no—
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#939—24no—
299#937—42no—
300C4×#67—42no—
301C2×(C2×D3)⋊C4—24no—
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(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
344#926—24no—
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#896—24no—
365#896—42no—
366#895—24no—
367#895—24no—
368#895—24no—
369#895—42no—
370#894—24no—
371#893—24no—
372#893—24no—
373#893—24no—
374#893—24no—
375#893—24no—
376#892—42no—
377D3×C4⋊C4—42no—
378#885—24no—
379#884—24no—
380#884—42no—
381#882—24no—
382#882—24no—
383#882—24no—
384#882—24no—
385#882—42no—
386#882—42no—
387#67⋊C4—24no—
388#67⋊C4—42no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394D3×C22⋊C4—42no—
395D3×C22⋊C4D418yescomplemented
396C4×D12—24no—
397C4×D12—24no—
398C4×D12—24no—
399C4×D12—24no—
400C4×D12—42no—
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—
432#546—68no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452#518—68no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×#117—31no—
467C2×#117—31no—
468C2×#117C2×D311yescharacteristic, complemented
469C22×C4⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400C2×D311yescharacteristic, complemented
479#399—31no—
480#398—31no—
481#398—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397C2×D311yescharacteristic, complemented
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×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#394C2×D311yescharacteristic
509#393—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#391—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#389C2×D311yescharacteristic, complemented
525#389C2×D311yescharacteristic, complemented
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388C2×D311yescharacteristic, complemented
539#388C2×D311yescharacteristic, complemented
540#387—31no—
541#387—31no—
542#387—31no—
543#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4C2×D311yescharacteristic, complemented
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—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×D3C2×D414yes—
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—41no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—41no—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C22×Dic3—22no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668D3×D4—416no—
669#235—416no—
670C2×D12—232no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
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—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12#4114yescomplemented
706C2×D12#4114yescomplemented
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3C2×D414yes—
742C2×C4×D3C2×D414yes—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—41no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4—22no—
748C3×C4⋊C4—22no—
749C3×C4⋊C4—22no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—22no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—41no—
754C3×C4⋊C4—41no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4C2×D414yes—
765C3×C42—22no—
766C3×C42—22no—
767C3×C42—41no—
768#217—22no—
769#217—22no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217C2×D414yes—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
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—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
815(C2×D3)⋊C4C2×D414yes—
816C4⋊Dic3—22no—
817C4⋊Dic3—22no—
818C4⋊Dic3—22no—
819C4⋊Dic3—41no—
820C4⋊Dic3—41no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—41no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4—41no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C25—31no—
836C25—31no—
837C25—31no—
838C2×#41—64no—
839C2×#41—122no—
840C2×#41—122no—
841C22×Q8—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—64no—
861C22×D4—64no—
862C22×D4—64no—
863C22×D4—64no—
864C22×D4—122no—
865C22×D4—122no—
866C22×D4C22×D311yescharacteristic
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882#124—64no—
883#123—24no—
884#123—64no—
885C22⋊Q8—64no—
886C22⋊Q8—122no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#120—64no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901C4×D4—64no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—64no—
906C4×D4—64no—
907C4×D4—64no—
908C4×D4—64no—
909C4×D4—64no—
910C4×D4—64no—
911C4×D4—122no—
912C4×D4—122no—
913C4×D4—122no—
914#117—24no—
915#117—64no—
916#117—122no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—122no—
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C4⋊C4C22×D311yescharacteristic
937C2×C4⋊C4C22×D311yescharacteristic
938C2×C4⋊C4C22×D311yescharacteristic
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—38no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—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—64no—
990C2×C22⋊C4—64no—
991C2×C22⋊C4—64no—
992C2×C22⋊C4—64no—
993C2×C22⋊C4—122no—
994C2×C22⋊C4—122no—
995C2×C22⋊C4—122no—
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42C22×D311yescharacteristic
1013C2×C42C22×D311yescharacteristic
1014C2×C42C22×D311yescharacteristic
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
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#95C22×D311yescharacteristic
1034#95C22×D311yescharacteristic
1035#95C22×D311yescharacteristic
1036#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3C22×D412yes—
1056C23×C3H(5,𝔽2)12yes—
1057C23×C3C2511yescharacteristic
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—28no—
1081C22×D3—28no—
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—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3—82no—
1111C22×D3—82no—
1112C22×D3—82no—
1113C22×D3—82no—
1114C22×D3—82no—
1115C22×D3C22×D412yes—
1116C22×D3C22×D412yes—
1117C22×D3C2×#4112yes—
1118C22×D3C2×#4112yes—
1119C22×D3C2×#4112yes—
1120C22×D3C2×#4112yes—
1121C3×D4—44no—
1122C2×C3×C4—28no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
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—44no—
1158C2×C3×C4C22×D412yes—
1159C2×C3×C4C22×D412yes—
1160C2×C3×C4C2×#4112yes—
1161C2×C3×C4C2×#4112yes—
1162C2×C3×C4H(5,𝔽2)12yes—
1163#67—28no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—82no—
1197C2×Dic3C22×D412yes—
1198C2×Dic3C22×D412yes—
1199C2×Dic3H(5,𝔽2)12yes—
1200D12—28no—
1201D12—28no—
1202D12—28no—
1203D12—28no—
1204D12—44no—
1205D12—44no—
1206D12—44no—
1207D12—44no—
1208D12—82no—
1209D12—82no—
1210D12—82no—
1211D12—82no—
1212C4×D3—44no—
1213C4×D3—44no—
1214C4×D3—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—82no—
1218C4×D3—82no—
1219C4×D3—82no—
1220C4×D3—82no—
1221C4×D3—82no—
1222C4×D3—82no—
1223C4×D3—82no—
1224Dic6—44no—
1225C24—31no—
1226C24—31no—
1227C24—31no—
1228C24—31no—
1229C24—34no—
1230C24—31no—
1231C24—31no—
1232C24—62no—
1233C24—62no—
1234C24—62no—
1235C24—62no—
1236C24—62no—
1237C24—62no—
1238C24—62no—
1239C24—62no—
1240C24—62no—
1241C24—121no—
1242C24—121no—
1243C24—121no—
1244C24—121no—
1245C24—121no—
1246C24—121no—
1247C24—121no—
1248C24—121no—
1249C24—121no—
1250C24—121no—
1251C24—121no—
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254#41—1216no—
1255C2×Q8—62no—
1256C2×Q8—62no—
1257C2×Q8—121no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—34no—
1261C2×D4—34no—
1262C2×D4—41no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—632no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—1216no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—34no—
1326C22×C4—34no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—41no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—121no—
1401C4⋊C4—121no—
1402C4⋊C4—121no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C4⋊C4—121no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—34no—
1416C22⋊C4—34no—
1417C22⋊C4—34no—
1418C22⋊C4—41no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4D3×D414yes—
1465C42—22no—
1466C42—22no—
1467C42—41no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—62no—
1472C42—121no—
1473C42—121no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3C23×D411yescharacteristic
1489C22×C3C22×#4111yescharacteristic
1490C22×C3C22×#4111yescharacteristic
1491C22×C3C2×H(5,𝔽2)11yescharacteristic
1492C22×C3C2×H(5,𝔽2)11yescharacteristic
1493C22×C3C2×H(5,𝔽2)11yescharacteristic
1494C22×C3#58511yescharacteristic
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—22no—
1499C2×D3—22no—
1500C2×D3—22no—
1501C2×D3—22no—
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—22no—
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—88no—
1537C2×D3—88no—
1538C2×D3—88no—
1539C2×D3#52514yes—
1540C3×C4—22no—
1541C3×C4—22no—
1542C3×C4—22no—
1543C3×C4—22no—
1544C3×C4—22no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549C3×C4—41no—
1550C3×C4—41no—
1551C3×C4—41no—
1552C3×C4—41no—
1553Dic3—22no—
1554Dic3—22no—
1555Dic3—22no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3—41no—
1561Dic3—41no—
1562Dic3—41no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—32no—
1576C23—32no—
1577C23—32no—
1578C23—32no—
1579C23—32no—
1580C23—32no—
1581C23—68no—
1582C23—68no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—124no—
1620C23—124no—
1621C23—124no—
1622C23—124no—
1623C23—124no—
1624C23—124no—
1625C23—242no—
1626C23—242no—
1627C23—242no—
1628C23—242no—
1629C23—242no—
1630C23—242no—
1631C23—242no—
1632C23—242no—
1633C23—242no—
1634C23—242no—
1635C23—242no—
1636C23—242no—
1637C23—242no—
1638C23C2×D3×D412yes—
1639C23#100912yes—
1640C23C24×D311yescharacteristic
1641Q8—124no—
1642D4—44no—
1643D4—68no—
1644D4—68no—
1645D4—68no—
1646D4—68no—
1647D4—68no—
1648D4—124no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—242no—
1657D4—242no—
1658D4—242no—
1659D4—242no—
1660D4—242no—
1661C2×C4—28no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—32no—
1697C2×C4—32no—
1698C2×C4—32no—
1699C2×C4—44no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—124no—
1728C2×C4—124no—
1729C2×C4—124no—
1730C2×C4—124no—
1731C2×C4—124no—
1732C2×C4—242no—
1733C2×C4—242no—
1734C2×C4—242no—
1735C2×C4—242no—
1736C2×C4—242no—
1737C2×C4—242no—
1738C2×C4—242no—
1739C2×C4—242no—
1740C2×C4C2×D3×D412yes—
1741C2×C4C2×D3×D412yes—
1742C2×C4D3×#4112yes—
1743C2×C4D3×#4112yes—
1744C2×C4#100912yes—
1745C2×C3—42no—
1746C2×C3—42no—
1747C2×C3C2×#52511yescharacteristic
1748C2×C3#348411yescharacteristic
1749C2×C3#349611yescharacteristic
1750C2×C3#351311yescharacteristic
1751C2×C3#351411yescharacteristic
1752C2×C3#351911yescharacteristic
1753C2×C3#351911yescharacteristic
1754D3—24no—
1755D3—42no—
1756D3—42no—
1757D3—42no—
1758D3—81no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—34no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—62no—
1776C22—62no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—62no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—248no—
1817C22—248no—
1818C22—248no—
1819C22C22×D3×D411yescharacteristic
1820C22C2×D3×#4111yescharacteristic
1821C22C2×D3×#4111yescharacteristic
1822C22C2×#100911yescharacteristic
1823C22C2×#100911yescharacteristic
1824C22D3×H(5,𝔽2)11yescharacteristic
1825C22#596811yescharacteristic
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—62no—
1840C4—62no—
1841C4—62no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C4—121no—
1849C3#3571411yescharacteristic, complemented, Sylow
1850C2—42no—
1851C2—42no—
1852C2—64no—
1853C2—122no—
1854C2—122no—
1855C2—122no—
1856C2—241no—
1857C2—241no—
1858C2D3×#52511yescharacteristic
1859C2#8616611yescharacteristic
1860C2#8655411yescharacteristic
1861C2#8666211yescharacteristic
1862C2#8670211yescharacteristic
1863C2#8683411yescharacteristic
1864C2#8688811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2470C2
hypercenter#2470D3
hypocenterC3#35714
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
1. C2×#5654C2semidirect
2. C2×#5521C2semidirect
3. C3×#2470C2semidirect
4. #82896C2semidirect
5. #82280C2semidirect
6. #78344C2semidirect
7. #78212C2semidirect
8. #77685C2semidirect
9. #77474C2semidirect
10. #77416C2semidirect
11. #77281C2semidirect
12. #77114C2semidirect
13. D3×#394C2semidirect
14. #76225C2semidirect
15. #76209C2semidirect
16. #76206C2semidirect
17. #76096C2semidirect
18. #75896C2semidirect
19. #75846C2semidirect
20. #75846C2semidirect
21. #75833C2semidirect
22. #75377C2semidirect
23. #75309C2semidirect
24. #74884C2semidirect
25. #74730C2semidirect
26. #74601C2semidirect
27. #74596C2semidirect
28. #74444C2semidirect
29. #74404C2semidirect
30. #73580C2semidirect
31. #73577C2semidirect
34. C22×#235C22semidirect
37. C2×C3×#117C22semidirect
40. C2×C4×#67C22semidirect
41. C22×(C2×D3)⋊C4C22semidirect
42. C2×#926C22semidirect
45. C2×#896C22semidirect
46. C2×#896C22semidirect
49. C2×#895C22semidirect
50. C2×#895C22semidirect
51. C2×#894C22semidirect
54. C2×#893C22semidirect
55. C2×#893C22semidirect
56. C2×#893C22semidirect
57. C2×#892C22semidirect
58. C2×D3×C4⋊C4C22semidirect
61. C2×#884C22semidirect
66. C2×#882C22semidirect
67. C2×#882C22semidirect
68. C2×#67⋊C4C22semidirect
69. C2×#67⋊C4C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
79. C2×C4×D12C22semidirect
80. C2×C4×D12C22semidirect
81. C2×C4×D12C22semidirect
82. C3×#400C22semidirect
83. C3×#397C22semidirect
84. C3×#396C22semidirect
86. C3×#389C22semidirect
87. C3×#389C22semidirect
88. C3×#388C22semidirect
89. C3×#388C22semidirect
90. C3×#387C22semidirect
92. C3×#385C22semidirect
93. C3×#385C22semidirect
94. C3×C4×C22⋊C4C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4993C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4988C22semidirect
116. #4988C22semidirect
117. #4987C22semidirect
118. #4982C22semidirect
119. #4980C22semidirect
120. Dic3×C4⋊C4C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
128. #4960C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4958C22semidirect
133. #4957C22semidirect
134. #4956C22semidirect
136. #4955C22semidirect
137. #4952C22semidirect
138. #4951C22semidirect
139. #4950C22semidirect
140. #4945C22semidirect
141. #4944C22semidirect
142. Dic3×C22⋊C4C22semidirect
143. #4940C22semidirect
144. #4939C22semidirect
145. #4939C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. #4933C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4674C22semidirect
153. #4673C22semidirect
154. #4672C22semidirect
155. #4672C22semidirect
156. #4672C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4667C22semidirect
171. #4666C22semidirect
172. #4666C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. D3×#95C22semidirect
186. #4657C22semidirect
187. #4656C22semidirect
188. #4654C22semidirect
189. #4646C22semidirect
201. #2470D3semidirect
395. D3×C22⋊C4D4semidirect
468. C2×#117C2×D3semidirect
478. #400C2×D3semidirect
485. #397C2×D3semidirect
489. #396C2×D3semidirect
524. #389C2×D3semidirect
525. #389C2×D3semidirect
538. #388C2×D3semidirect
539. #388C2×D3semidirect
543. #387C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
584. C4×C22⋊C4C2×D3semidirect
705. C2×D12#41semidirect
706. C2×D12#41semidirect
1849. C3#35714semidirect

Maximal subgroups

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

subgroupindex
C2×#56542
C2×#55212
C3×#24702
#828962
#822802
#783442
#782122
#776852
#774742
#774162
#772812
#771142
D3×#3942
#762252
#762092
#762062
#760962
#758962
#758462
#758332
#753772
#753092
#748842
#747302
#746012
#745962
#744442
#744042
#735802
#735772
#357143