Finite Group Databasebeta

← #11301765

Subgroups — #11301765

Order 768.

3038 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5718C211yesmaximal, characteristic, complemented
2C2×#5605C211yesmaximal, characteristic, complemented
3C3×#2673C211yesmaximal, characteristic, complemented
4#83175C211yesmaximal, characteristic, complemented
5#82906C211yesmaximal, characteristic, complemented
6#82900C211yesmaximal, characteristic, complemented
7#82714C211yesmaximal, characteristic, complemented
8#82706C211yesmaximal, characteristic, complemented
9#82691C211yesmaximal, characteristic, complemented
10#77133C211yesmaximal, characteristic, complemented
11#77131C211yesmaximal, characteristic, complemented
12#77128C211yesmaximal, characteristic, complemented
13#76909C211yesmaximal, characteristic, complemented
14#76769C211yesmaximal, characteristic, complemented
15#76765C211yesmaximal, characteristic, complemented
16#76764C211yesmaximal, characteristic, complemented
17#76755C211yesmaximal, characteristic, complemented
18#76754C211yesmaximal, characteristic, complemented
19#76702C211yesmaximal, characteristic, complemented
20#76697C211yesmaximal, characteristic, complemented
21#76673C211yesmaximal, characteristic, complemented
22#75853C211yesmaximal, characteristic, complemented
23#75846C211yesmaximal, characteristic, complemented
24#75324C211yesmaximal, characteristic, complemented
25#74989C211yesmaximal, characteristic, complemented
26#74913C211yesmaximal, characteristic, complemented
27#74888C211yesmaximal, characteristic, complemented
28#74885C211yesmaximal, characteristic, complemented
29#74885C211yesmaximal, characteristic, complemented
30#74810C211yesmaximal, characteristic, complemented
31#74683C211yesmaximal, characteristic, complemented
32#47831—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×#237C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic
37C2×C3×#127C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic, complemented
44C2×#940C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic, complemented
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic, complemented
51C2×#938C2211yescharacteristic, complemented
52C2×#938C2211yescharacteristic, complemented
53C2×#938C2211yescharacteristic, complemented
54C2×#937C2211yescharacteristic
55C2×#937C2211yescharacteristic
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic, complemented
59C2×#937C2211yescharacteristic, complemented
60C2×#937C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic, complemented
62C2×D4×Dic3C2211yescharacteristic, complemented
63C2×D4×Dic3C2211yescharacteristic, complemented
64C2×#930C2211yescharacteristic
65C2×#930C2211yescharacteristic
66C22×(C2×D3)⋊C4C2211yescharacteristic
67C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
68#5718—28no—
69#5605—28no—
70C2×#895C2211yescharacteristic, complemented
71C2×#894C2211yescharacteristic
72C2×#894C2211yescharacteristic
73C2×#884C2211yescharacteristic
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic
77C2×#883C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#882C2211yescharacteristic
81C2×#882C2211yescharacteristic, complemented
82C2×#882C2211yescharacteristic, complemented
83C2×D3×C22⋊C4C2211yescharacteristic, complemented
84C2×C4×D12C2211yescharacteristic, complemented
85C2×C4×Dic6C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic, complemented
90C3×#392C2211yescharacteristic, complemented
91C3×#392C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#387C2211yescharacteristic, complemented
94C3×#386C2211yescharacteristic, complemented
95C3×#386C2211yescharacteristic, complemented
96C3×#386C2211yescharacteristic, complemented
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5223C2211yescharacteristic, complemented
104#5223C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5221C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5213C2211yescharacteristic, complemented
111#5213C2211yescharacteristic, complemented
112#5211C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4994C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4990C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4990C2211yescharacteristic, complemented
120#4990C2211yescharacteristic, complemented
121#4982C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic, complemented
143#4958C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4958C2211yescharacteristic, complemented
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4955C2211yescharacteristic
154#4951C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4949C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4943C2211yescharacteristic, complemented
161#4943C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163#4942C2211yescharacteristic, complemented
164#4939C2211yescharacteristic
165C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4670C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4660C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#534—31no—
192#2699—31no—
193#2699—31no—
194#2673—31no—
195#2673—31no—
196#2673—31no—
197#2673D311yescharacteristic, complemented
198#2671—31no—
199#2671—31no—
200#2669—31no—
201#2669—31no—
202#2669—31no—
203#2669—31no—
204#2635—31no—
205#2615—31no—
206#2534—31no—
207#2458—31no—
208#2458—31no—
209#2457—31no—
210#2457—31no—
211#2433—31no—
212#2433—31no—
213#2424—31no—
214#2424—31no—
215#2410—31no—
216#2410—31no—
217#2404—31no—
218#2404—31no—
219#2404—31no—
220#2377—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C2×#237—24no—
260C2×#237—24no—
261C2×#237—42no—
262C2×#237—42no—
263C2×#237—42no—
264C2×#237—42no—
265C2×D3×D4—24no—
266C2×D3×D4—24no—
267C2×D3×D4—42no—
268C2×D3×D4—42no—
269C2×D3×D4—42no—
270C2×D3×D4—42no—
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×Dic6C2311yescharacteristic
284C3×#127—24no—
285C3×#123—42no—
286C3×#121—24no—
287C3×#121—42no—
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C42C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319#940—24no—
320#940—24no—
321#940—42no—
322#940—42no—
323#939—24no—
324#939—24no—
325#939—24no—
326#939—24no—
327#939—42no—
328#939D418yescomplemented
329#938—24no—
330#938—24no—
331#938—42no—
332#937—24no—
333#937—24no—
334#937—42no—
335#937—42no—
336#937—42no—
337#937—42no—
338#937—42no—
339#937—42no—
340D4×Dic3—24no—
341D4×Dic3—24no—
342#930—24no—
343#930—42no—
344C2×(C2×D3)⋊C4—24no—
345C2×(C2×D3)⋊C4—42no—
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×(C2×D3)⋊C4C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380C2×C4⋊Dic3C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393#895—42no—
394#894—24no—
395#894—24no—
396#884—42no—
397#884—42no—
398#884—42no—
399#883—24no—
400#883—24no—
401#882—24no—
402#882—24no—
403#882—42no—
404#882—42no—
405#882—42no—
406D3×C22⋊C4—42no—
407C4×D12—24no—
408C4×Dic6—24no—
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
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C22×#41—31no—
436C22×#41—31no—
437C23×D4—31no—
438C23×D4—31no—
439#550—68no—
440#534—68no—
441C2×#127—31no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#127—31no—
445C2×#127C2×D311yescharacteristic, complemented
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123C2×D311yescharacteristic, complemented
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—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121C2×D311yescharacteristic
467C2×#121C2×D311yescharacteristic, complemented
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×#120—31no—
479C2×#120—31no—
480C2×#120—31no—
481C2×C4×Q8—31no—
482C2×C4×D4—31no—
483C2×C4×D4—31no—
484C2×C4×D4—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C22⋊C4—31no—
488#400—31no—
489#399—31no—
490#398—31no—
491#398—31no—
492#396—31no—
493#396—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#394C2×D311yescharacteristic, complemented
508#394C2×D311yescharacteristic, complemented
509#393—31no—
510#393—31no—
511#393—31no—
512#393—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392C2×D311yescharacteristic, complemented
533#392C2×D311yescharacteristic, complemented
534#392C2×D311yescharacteristic, complemented
535#392C2×D311yescharacteristic, complemented
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388C2×D311yescharacteristic, complemented
552#387—31no—
553#387—31no—
554#387—31no—
555#387C2×D311yescharacteristic, complemented
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386C2×D311yescharacteristic, complemented
576#386C2×D311yescharacteristic, complemented
577#386C2×D311yescharacteristic, complemented
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#381—31no—
583#381—31no—
584#381—31no—
585#381—31no—
586#380—31no—
587#380—31no—
588#380—31no—
589#379—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4—31no—
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4C2×D414yes—
653C22×C3×C4—22no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4—41no—
658C22×C3×C4—41no—
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67C2×D414yes—
725C2×#67C2×D414yes—
726C22×Dic3—22no—
727C22×Dic3—22no—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—22no—
731C22×Dic3—41no—
732C22×Dic3—41no—
733C22×Dic3—41no—
734C22×Dic3—41no—
735C22×Dic3—41no—
736C22×Dic3—41no—
737C22×Dic3C2×D414yes—
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749#237—416no—
750#237—416no—
751D3×D4—416no—
752D3×D4—416no—
753C2×D12—22no—
754C2×D12—22no—
755C2×D12—22no—
756C2×D12—22no—
757C2×D12—22no—
758C2×D12—22no—
759C2×D12—22no—
760C2×D12—22no—
761C2×D12—22no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×C4×D3—22no—
775C2×C4×D3—22no—
776C2×C4×D3—22no—
777C2×C4×D3—22no—
778C2×C4×D3—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—41no—
783C2×C4×D3—41no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×Dic6—22no—
790C2×Dic6—22no—
791C2×Dic6—22no—
792C3×C4⋊C4—22no—
793C3×C4⋊C4—22no—
794C3×C4⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—22no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4—41no—
806C3×C22⋊C4—41no—
807C3×C22⋊C4—41no—
808C3×C42—22no—
809#217—22no—
810#217—22no—
811#217—22no—
812#217—22no—
813#217—22no—
814#217—41no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217—41no—
820#217—41no—
821#217—41no—
822#217C2×D414yes—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—22no—
840(C2×D3)⋊C4—22no—
841(C2×D3)⋊C4—22no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4C2×D414yes—
854C4⋊Dic3—22no—
855C4⋊Dic3—22no—
856C4⋊Dic3—22no—
857C4⋊Dic3—41no—
858C4⋊Dic3—41no—
859Dic3⋊C4—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—41no—
862Dic3⋊C4—41no—
863Dic3⋊C4—41no—
864Dic3⋊C4—41no—
865Dic3⋊C4C2×D414yes—
866C4×Dic3—22no—
867C4×Dic3—22no—
868C4×Dic3—41no—
869C4×Dic3—41no—
870C25—31no—
871C25—31no—
872C25—31no—
873C2×#41—64no—
874C2×#41—64no—
875C2×#41—122no—
876C2×#41—122no—
877C2×#41—122no—
878C2×#41—122no—
879C22×Q8—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—64no—
907C22×D4—64no—
908C22×D4—122no—
909C22×D4—122no—
910C22×D4—122no—
911C22×D4—122no—
912C22×D4C22×D311yescharacteristic
913C22×D4C22×D311yescharacteristic
914C22×D4C22×D311yescharacteristic
915C22×D4C22×D311yescharacteristic
916C22×D4C22×D311yescharacteristic
917C22×D4C22×D311yescharacteristic
918C22×D4C22×D311yescharacteristic
919C22×D4C22×D311yescharacteristic
920C22×D4C22×D311yescharacteristic
921C22×D4C22×D311yescharacteristic
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—31no—
930C23×C4—31no—
931C23×C4C22×D311yescharacteristic
932C23×C4C22×D311yescharacteristic
933#127—24no—
934#127—64no—
935#127—64no—
936#127—122no—
937#127—122no—
938#123—42no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—64no—
943#121—24no—
944#121—38no—
945#121—42no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—122no—
954#121—122no—
955#121—122no—
956#121—122no—
957#121—122no—
958#121—122no—
959#121—122no—
960#120—64no—
961#120—64no—
962#120—64no—
963#120—64no—
964#120—122no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970#120—122no—
971#120—122no—
972#120—122no—
973C4×Q8—64no—
974C4×D4—64no—
975C4×D4—64no—
976C4×D4—64no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4C22×D311yescharacteristic
990C2×C4⋊C4C22×D311yescharacteristic
991C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—64no—
1038C2×C22⋊C4—122no—
1039C2×C22⋊C4—122no—
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C42—31no—
1054C2×C42—31no—
1055C2×C42—31no—
1056C2×C42—31no—
1057C2×C42C22×D311yescharacteristic
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3C22×D412yes—
1118C23×C3C22×D412yes—
1119C23×C3C2511yescharacteristic
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—28no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—44no—
1154C22×D3—44no—
1155C22×D3—44no—
1156C22×D3—44no—
1157C22×D3—82no—
1158C22×D3—82no—
1159C22×D3—82no—
1160C22×D3—82no—
1161C22×D3—82no—
1162C22×D3—82no—
1163C22×D3—82no—
1164C22×D3—82no—
1165C22×D3—82no—
1166C22×D3—82no—
1167C22×D3—82no—
1168C22×D3—82no—
1169C22×D3—82no—
1170C22×D3—82no—
1171C22×D3—82no—
1172C22×D3—82no—
1173C22×D3C22×D412yes—
1174C22×D3H(5,𝔽2)12yes—
1175C22×D3H(5,𝔽2)12yes—
1176C3×D4—44no—
1177C3×D4—44no—
1178C3×D4—44no—
1179C3×D4—44no—
1180C3×D4—44no—
1181C3×D4—44no—
1182C3×D4—82no—
1183C3×D4—82no—
1184C3×D4—82no—
1185C3×D4—82no—
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—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—82no—
1214C2×C3×C4—82no—
1215C2×C3×C4C22×D412yes—
1216C2×C3×C4H(5,𝔽2)12yes—
1217C2×C3×C4H(5,𝔽2)12yes—
1218#67—44no—
1219#67—44no—
1220#67—44no—
1221#67—44no—
1222#67—44no—
1223#67—44no—
1224#67—44no—
1225#67—44no—
1226#67—82no—
1227#67—82no—
1228#67—82no—
1229#67—82no—
1230#67—82no—
1231#67—82no—
1232#67—82no—
1233#67—82no—
1234#67—82no—
1235#67—82no—
1236#67—82no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—44no—
1267C2×Dic3—44no—
1268C2×Dic3—44no—
1269C2×Dic3—44no—
1270C2×Dic3C22×D412yes—
1271C2×Dic3C22×D412yes—
1272C2×Dic3C22×D412yes—
1273C2×Dic3H(5,𝔽2)12yes—
1274D12—44no—
1275D12—44no—
1276D12—44no—
1277D12—82no—
1278D12—82no—
1279D12—82no—
1280D12—82no—
1281C4×D3—44no—
1282C4×D3—44no—
1283C4×D3—44no—
1284C4×D3—44no—
1285C4×D3—82no—
1286Dic6—28no—
1287C24—31no—
1288C24—31no—
1289C24—31no—
1290C24—31no—
1291C24—31no—
1292C24—62no—
1293C24—62no—
1294C24—62no—
1295C24—62no—
1296C24—62no—
1297C24—62no—
1298C24—62no—
1299C24—121no—
1300C24—121no—
1301C24—121no—
1302C24—121no—
1303C24—121no—
1304C24—121no—
1305C24—121no—
1306C24—121no—
1307C24—121no—
1308C24—121no—
1309C24—121no—
1310C24—121no—
1311C24—121no—
1312C24—121no—
1313C24C23×D311yescharacteristic
1314C24C23×D311yescharacteristic
1315C24C23×D311yescharacteristic
1316C24C23×D311yescharacteristic
1317C24C23×D311yescharacteristic
1318#41—1216no—
1319#41—1216no—
1320C2×Q8—62no—
1321C2×Q8—62no—
1322C2×Q8—62no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—34no—
1335C2×D4—34no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—62no—
1376C2×D4—62no—
1377C2×D4—62no—
1378C2×D4—62no—
1379C2×D4—62no—
1380C2×D4—62no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—1216no—
1431C2×D4—1216no—
1432C2×D4D3×D414yes—
1433C22×C4—22no—
1434C22×C4—31no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—31no—
1438C22×C4—34no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—62no—
1452C22×C4—62no—
1453C22×C4—62no—
1454C22×C4—62no—
1455C22×C4—62no—
1456C22×C4—62no—
1457C22×C4—62no—
1458C22×C4—62no—
1459C22×C4—62no—
1460C22×C4—62no—
1461C22×C4—62no—
1462C22×C4—62no—
1463C22×C4—62no—
1464C22×C4—121no—
1465C22×C4—121no—
1466C22×C4—121no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—121no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4C23×D311yescharacteristic
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—34no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—121no—
1497C4⋊C4—121no—
1498C4⋊C4—121no—
1499C4⋊C4—121no—
1500C4⋊C4—121no—
1501C4⋊C4—121no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—34no—
1507C22⋊C4—34no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—62no—
1540C22⋊C4—62no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C42—22no—
1561C42—62no—
1562C42—62no—
1563C42—121no—
1564C42—121no—
1565C22×C3—22no—
1566C22×C3—22no—
1567C22×C3—22no—
1568C22×C3—22no—
1569C22×C3—22no—
1570C22×C3—22no—
1571C22×C3—41no—
1572C22×C3—41no—
1573C22×C3—41no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3C23×D411yescharacteristic
1601C22×C3C2×H(5,𝔽2)11yescharacteristic
1602C22×C3C2×H(5,𝔽2)11yescharacteristic
1603C22×C3C2×H(5,𝔽2)11yescharacteristic
1604C22×C3C2×H(5,𝔽2)11yescharacteristic
1605C22×C3C2×H(5,𝔽2)11yescharacteristic
1606C22×C3#58511yescharacteristic
1607C2×D3—22no—
1608C2×D3—22no—
1609C2×D3—22no—
1610C2×D3—22no—
1611C2×D3—22no—
1612C2×D3—22no—
1613C2×D3—22no—
1614C2×D3—22no—
1615C2×D3—22no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—88no—
1643C2×D3—88no—
1644C2×D3—88no—
1645C3×C4—22no—
1646C3×C4—22no—
1647C3×C4—22no—
1648C3×C4—41no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654C3×C4—41no—
1655Dic3—22no—
1656Dic3—22no—
1657Dic3—22no—
1658Dic3—22no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—32no—
1700C23—32no—
1701C23—32no—
1702C23—68no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—124no—
1736C23—124no—
1737C23—124no—
1738C23—124no—
1739C23—242no—
1740C23—242no—
1741C23—242no—
1742C23—242no—
1743C23—242no—
1744C23—242no—
1745C23—242no—
1746C23—242no—
1747C23—242no—
1748C23—242no—
1749C23—242no—
1750C23—242no—
1751C23—242no—
1752C23—242no—
1753C23—242no—
1754C23—242no—
1755C23C2×D3×D412yes—
1756C23C2×D3×D412yes—
1757C23C24×D311yescharacteristic
1758Q8—68no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—82no—
1766D4—82no—
1767D4—82no—
1768D4—82no—
1769D4—124no—
1770D4—124no—
1771D4—124no—
1772D4—124no—
1773D4—124no—
1774D4—124no—
1775D4—124no—
1776D4—124no—
1777D4—124no—
1778D4—124no—
1779D4—124no—
1780D4—242no—
1781D4—242no—
1782D4—242no—
1783D4—242no—
1784D4—242no—
1785D4—242no—
1786D4—242no—
1787D4—242no—
1788D4—242no—
1789D4—242no—
1790D4—242no—
1791D4—242no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—32no—
1823C2×C4—32no—
1824C2×C4—32no—
1825C2×C4—32no—
1826C2×C4—61no—
1827C2×C4—61no—
1828C2×C4—61no—
1829C2×C4—61no—
1830C2×C4—61no—
1831C2×C4—61no—
1832C2×C4—61no—
1833C2×C4—61no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—82no—
1856C2×C4—82no—
1857C2×C4—124no—
1858C2×C4—124no—
1859C2×C4—124no—
1860C2×C4—124no—
1861C2×C4—124no—
1862C2×C4—124no—
1863C2×C4—124no—
1864C2×C4—124no—
1865C2×C4—242no—
1866C2×C4C2×D3×D412yes—
1867C2×C4#100412yes—
1868C2×C4#100912yes—
1869C2×C3—42no—
1870C2×C3—42no—
1871C2×C3—81no—
1872C2×C3—81no—
1873C2×C3—81no—
1874C2×C3#348411yescharacteristic
1875C2×C3#348411yescharacteristic
1876C2×C3#348811yescharacteristic
1877C2×C3#354211yescharacteristic
1878C2×C3#354211yescharacteristic
1879C2×C3#354311yescharacteristic
1880C2×C3#354311yescharacteristic
1881D3—42no—
1882D3—42no—
1883D3—42no—
1884D3—81no—
1885D3—81no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—62no—
1922C22—62no—
1923C22—62no—
1924C22—62no—
1925C22—62no—
1926C22—62no—
1927C22—62no—
1928C22—62no—
1929C22—62no—
1930C22—121no—
1931C22—121no—
1932C22—121no—
1933C22—121no—
1934C22—121no—
1935C22—121no—
1936C22—121no—
1937C22—121no—
1938C22—121no—
1939C22—121no—
1940C22—121no—
1941C22—121no—
1942C22—121no—
1943C22—121no—
1944C22—121no—
1945C22—121no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—248no—
1957C22—248no—
1958C22—248no—
1959C22C22×D3×D411yescharacteristic
1960C22C2×#100411yescharacteristic
1961C22C2×#100911yescharacteristic
1962C22D3×H(5,𝔽2)11yescharacteristic
1963C22D3×H(5,𝔽2)11yescharacteristic
1964C22D3×H(5,𝔽2)11yescharacteristic
1965C22#596611yescharacteristic
1966C4—22no—
1967C4—22no—
1968C4—22no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—62no—
1977C4—62no—
1978C4—62no—
1979C4—62no—
1980C4—121no—
1981C4—121no—
1982C4—121no—
1983C4—121no—
1984C4—121no—
1985C4—121no—
1986C4—121no—
1987C3#4783111yescharacteristic, complemented, Sylow
1988C2—42no—
1989C2—42no—
1990C2—81no—
1991C2—81no—
1992C2—81no—
1993C2—122no—
1994C2—122no—
1995C2—122no—
1996C2—241no—
1997C2—241no—
1998C2#8630811yescharacteristic
1999C2#8633611yescharacteristic
2000C2#8649211yescharacteristic
2001C2#8660711yescharacteristic
2002C2#8666211yescharacteristic
2003C2#8678711yescharacteristic
2004C2#8707411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2673C2
hypercenter#2673D3
hypocenterC3#47831
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#5718C2semidirect
2. C2×#5605C2semidirect
3. C3×#2673C2semidirect
4. #83175C2semidirect
5. #82906C2semidirect
6. #82900C2semidirect
7. #82714C2semidirect
8. #82706C2semidirect
9. #82691C2semidirect
10. #77133C2semidirect
11. #77131C2semidirect
12. #77128C2semidirect
13. #76909C2semidirect
14. #76769C2semidirect
15. #76765C2semidirect
16. #76764C2semidirect
17. #76755C2semidirect
18. #76754C2semidirect
19. #76702C2semidirect
20. #76697C2semidirect
21. #76673C2semidirect
22. #75853C2semidirect
23. #75846C2semidirect
24. #75324C2semidirect
25. #74989C2semidirect
26. #74913C2semidirect
27. #74888C2semidirect
28. #74885C2semidirect
29. #74885C2semidirect
30. #74810C2semidirect
31. #74683C2semidirect
33. C22×#237C22semidirect
34. C22×#237C22semidirect
37. C2×C3×#127C22semidirect
38. C2×C3×#123C22semidirect
40. C2×C3×#121C22semidirect
43. C2×#940C22semidirect
44. C2×#940C22semidirect
47. C2×#939C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
50. C2×#939C22semidirect
51. C2×#938C22semidirect
52. C2×#938C22semidirect
53. C2×#938C22semidirect
58. C2×#937C22semidirect
59. C2×#937C22semidirect
60. C2×#937C22semidirect
61. C2×#937C22semidirect
62. C2×D4×Dic3C22semidirect
63. C2×D4×Dic3C22semidirect
67. C22×(C2×D3)⋊C4C22semidirect
70. C2×#895C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
81. C2×#882C22semidirect
82. C2×#882C22semidirect
83. C2×D3×C22⋊C4C22semidirect
84. C2×C4×D12C22semidirect
85. C2×C4×Dic6C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#392C22semidirect
89. C3×#392C22semidirect
90. C3×#392C22semidirect
91. C3×#392C22semidirect
92. C3×#388C22semidirect
93. C3×#387C22semidirect
94. C3×#386C22semidirect
95. C3×#386C22semidirect
96. C3×#386C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
103. #5223C22semidirect
104. #5223C22semidirect
105. #5223C22semidirect
106. #5222C22semidirect
107. #5221C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5213C22semidirect
111. #5213C22semidirect
112. #5211C22semidirect
113. #5210C22semidirect
114. #4994C22semidirect
115. #4994C22semidirect
116. #4991C22semidirect
117. #4990C22semidirect
118. #4990C22semidirect
119. #4990C22semidirect
120. #4990C22semidirect
121. #4982C22semidirect
122. #4980C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
142. #4958C22semidirect
143. #4958C22semidirect
144. #4958C22semidirect
145. #4958C22semidirect
146. #4958C22semidirect
148. #4957C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
152. #4956C22semidirect
154. #4951C22semidirect
155. #4951C22semidirect
156. #4949C22semidirect
157. #4947C22semidirect
158. #4945C22semidirect
159. #4944C22semidirect
160. #4943C22semidirect
161. #4943C22semidirect
162. #4942C22semidirect
163. #4942C22semidirect
165. C4×(C2×D3)⋊C4C22semidirect
166. #4673C22semidirect
167. #4673C22semidirect
168. #4673C22semidirect
172. #4670C22semidirect
173. #4669C22semidirect
174. #4669C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
179. #4666C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4664C22semidirect
186. #4661C22semidirect
187. #4660C22semidirect
188. #4655C22semidirect
189. #4652C22semidirect
197. #2673D3semidirect
328. #939D4semidirect
445. C2×#127C2×D3semidirect
450. C2×#123C2×D3semidirect
467. C2×#121C2×D3semidirect
507. #394C2×D3semidirect
508. #394C2×D3semidirect
532. #392C2×D3semidirect
533. #392C2×D3semidirect
534. #392C2×D3semidirect
535. #392C2×D3semidirect
551. #388C2×D3semidirect
555. #387C2×D3semidirect
575. #386C2×D3semidirect
576. #386C2×D3semidirect
577. #386C2×D3semidirect
1987. C3#47831semidirect

Maximal subgroups

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

subgroupindex
C2×#57182
C2×#56052
C3×#26732
#831752
#829062
#829002
#827142
#827062
#826912
#771332
#771312
#771282
#769092
#767692
#767652
#767642
#767552
#767542
#767022
#766972
#766732
#758532
#758462
#753242
#749892
#749132
#748882
#748852
#748102
#746832
#478313