Finite Group Databasebeta

← #11024906

Subgroups — #11024906

Order 768.

3312 conjugacy classes of subgroups.

The subgroup lattice has 2034 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#940C211yesmaximal, characteristic, complemented
2C2×#5615C211yesmaximal, characteristic, complemented
3C3×#2410C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5#82717C211yesmaximal, characteristic, complemented
6#82683C211yesmaximal, characteristic, complemented
7#82650C211yesmaximal, characteristic, complemented
8#82606C211yesmaximal, characteristic, complemented
9#82605C211yesmaximal, characteristic, complemented
10#82582C211yesmaximal, characteristic, complemented
11#82582C211yesmaximal, characteristic, complemented
12#82126C211yesmaximal, characteristic, complemented
13C22⋊C4×#67C211yesmaximal, characteristic, complemented
14#77152C211yesmaximal, characteristic, complemented
15#77151C211yesmaximal, characteristic, complemented
16#76984C211yesmaximal, characteristic, complemented
17#76907C211yesmaximal, characteristic, complemented
18#76768C211yesmaximal, characteristic, complemented
19#76711C211yesmaximal, characteristic, complemented
20#76698C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#74928C211yesmaximal, characteristic, complemented
23#74887C211yesmaximal, characteristic, complemented
24#74820C211yesmaximal, characteristic, complemented
25#74708C211yesmaximal, characteristic, complemented
26#74667C211yesmaximal, characteristic, complemented
27#74657C211yesmaximal, characteristic, complemented
28#74599C211yesmaximal, characteristic, complemented
29#74586C211yesmaximal, characteristic, complemented
30#73853C211yesmaximal, characteristic, complemented
31#73850C211yesmaximal, characteristic, complemented
32#37694—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×#67C2211yescharacteristic
37C23×#67C2211yescharacteristic
38C23×D12C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic, complemented
41C2×C3×#120C2211yescharacteristic
42C2×C3×#120C2211yescharacteristic
43C22×C3×C22⋊C4C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C2×#940—28no—
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#940C2211yescharacteristic
50C2×#940C2211yescharacteristic
51C2×#940C2211yescharacteristic
52C2×#940C2211yescharacteristic
53C2×#940C2211yescharacteristic
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic, complemented
58C2×#939C2211yescharacteristic, complemented
59C2×#939C2211yescharacteristic, complemented
60C2×#938C2211yescharacteristic, complemented
61C2×#938C2211yescharacteristic, complemented
62C2×#937C2211yescharacteristic
63C2×#937C2211yescharacteristic
64C2×#935C2211yescharacteristic, complemented
65C2×#935C2211yescharacteristic, complemented
66C2×D4×Dic3C2211yescharacteristic
67C2×#929C2211yescharacteristic, complemented
68C2×#929C2211yescharacteristic, complemented
69C2×C4×#67C2211yescharacteristic, complemented
70C2×C4×#67C2211yescharacteristic, complemented
71C22×C4×Dic3C2211yescharacteristic
72#5615—28no—
73C2×#894C2211yescharacteristic, complemented
74C2×#894C2211yescharacteristic, complemented
75C2×#889C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic, complemented
77C2×#884C2211yescharacteristic, complemented
78C2×#883C2211yescharacteristic, complemented
79C2×#883C2211yescharacteristic, complemented
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×#67⋊C4C2211yescharacteristic, complemented
82C2×D3×C22⋊C4C2211yescharacteristic
83C2×D3×C22⋊C4C2211yescharacteristic
84C2×#877C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×#385C2211yescharacteristic
93C3×#379C2211yescharacteristic
94#5247C2211yescharacteristic
95#5247C2211yescharacteristic
96#5247C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5223C2211yescharacteristic, complemented
104#5223C2211yescharacteristic, complemented
105#5222C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5213C2211yescharacteristic, complemented
113#5213C2211yescharacteristic, complemented
114#5213C2211yescharacteristic, complemented
115#5213C2211yescharacteristic, complemented
116#5210C2211yescharacteristic
117#5210C2211yescharacteristic
118#4991C2211yescharacteristic, complemented
119#4991C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4958C2211yescharacteristic, complemented
142#4958C2211yescharacteristic, complemented
143#4958C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4957C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4956C2211yescharacteristic, complemented
156#4956C2211yescharacteristic, complemented
157#4956C2211yescharacteristic, complemented
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4956C2211yescharacteristic, complemented
161#4955C2211yescharacteristic
162#4955C2211yescharacteristic
163#4955C2211yescharacteristic
164#4955C2211yescharacteristic
165#4950C2211yescharacteristic
166#4946C2211yescharacteristic
167#4946C2211yescharacteristic
168#4945C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4942C2211yescharacteristic
171#4942C2211yescharacteristic
172Dic3×C22⋊C4C2211yescharacteristic
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4672C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#127—31no—
192#2851—31no—
193#2709—31no—
194#2709—31no—
195#2709—31no—
196#2709—31no—
197#2673—31no—
198#2673—31no—
199#2673—31no—
200#2673—31no—
201#2641—31no—
202#2619—31no—
203#2445—31no—
204#2445—31no—
205#2428—31no—
206#2428—31no—
207#2410—31no—
208#2410—31no—
209#2410—31no—
210#2410D311yescharacteristic, complemented
211#2408—31no—
212#2408—31no—
213#2405—31no—
214#2405—31no—
215#2405—31no—
216#2405—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2328—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4—24no—
226C22×C3×D4—42no—
227C22×C3×D4—42no—
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C22×#67—24no—
241C22×#67—24no—
242C22×#67—24no—
243C22×#67—24no—
244C22×#67—24no—
245C22×#67—24no—
246C22×#67—42no—
247C22×#67—42no—
248C22×#67—42no—
249C22×#67—42no—
250C22×#67—42no—
251C22×#67—42no—
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C22×#67C2311yescharacteristic
264C22×#67C2311yescharacteristic
265C22×#67C2311yescharacteristic
266C22×#67C2311yescharacteristic
267C22×#67C2311yescharacteristic
268C22×#67C2311yescharacteristic
269C22×#67C2311yescharacteristic
270C22×#67C2311yescharacteristic
271C22×#67C2311yescharacteristic
272C23×Dic3C2311yescharacteristic
273C23×Dic3C2311yescharacteristic
274C23×Dic3C2311yescharacteristic
275C23×Dic3C2311yescharacteristic
276C23×Dic3C2311yescharacteristic
277C22×D12—24no—
278C22×D12—42no—
279C22×D12—42no—
280C22×D12C2311yescharacteristic
281C22×D12C2311yescharacteristic
282C22×D12C2311yescharacteristic
283C22×D12C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×C4×D3C2311yescharacteristic
287C22×C4×D3C2311yescharacteristic
288C3×#121—24no—
289C3×#121—42no—
290C3×#120—42no—
291C3×#120—42no—
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×#217—42no—
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332#940—24no—
333#940—24no—
334#940—24no—
335#940—24no—
336#940—24no—
337#940—24no—
338#940—24no—
339#940D418yescomplemented
340#939—24no—
341#939—24no—
342#939—24no—
343#939—42no—
344#939—42no—
345#939—42no—
346#938—24no—
347#938—42no—
348#937—42no—
349#937—42no—
350#935—24no—
351#935—42no—
352D4×Dic3—24no—
353#929—24no—
354#929—42no—
355C4×#67—24no—
356C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
378C2×(C2×D3)⋊C4C2311yescharacteristic
379C2×(C2×D3)⋊C4C2311yescharacteristic
380C2×(C2×D3)⋊C4C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×C4⋊Dic3C2311yescharacteristic
383C2×C4⋊Dic3C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×C4×Dic3—24no—
397C2×C4×Dic3C2311yescharacteristic
398C2×C4×Dic3C2311yescharacteristic
399C2×C4×Dic3C2311yescharacteristic
400C2×C4×Dic3C2311yescharacteristic
401C2×C4×Dic3C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403C2×C4×Dic3C2311yescharacteristic
404#894—24no—
405#894—42no—
406#889—24no—
407#884—24no—
408#884—42no—
409#883—24no—
410#883—42no—
411#67⋊C4—24no—
412#67⋊C4—42no—
413D3×C22⋊C4—42no—
414D3×C22⋊C4—42no—
415#877—24no—
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
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C23×D4—31no—
439C23×D4—31no—
440C23×D4—31no—
441C23×D4—31no—
442C23×D4—31no—
443C23×D4C2×D311yescharacteristic
444#540—68no—
445C2×#127—31no—
446C2×#127—31no—
447C2×#127—31no—
448C2×#127—31no—
449C2×#127—31no—
450C2×#127—31no—
451C2×#127—31no—
452C2×#127—31no—
453C2×#127—68no—
454C2×#125—31no—
455C2×#123—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#121—31no—
469C2×#121—31no—
470C2×#121—31no—
471C2×#121—31no—
472C2×#121—31no—
473C2×#121C2×D311yescharacteristic, complemented
474C2×#121C2×D311yescharacteristic, complemented
475C2×#120—31no—
476C2×#120—31no—
477C2×#120C2×D311yescharacteristic
478C2×#120C2×D311yescharacteristic
479C2×C4×D4—31no—
480C2×C4×D4—31no—
481C2×C4×D4—31no—
482C2×C4×D4—31no—
483C2×C4×D4—31no—
484C2×#117—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C22⋊C4—31no—
488C22×C22⋊C4C2×D311yescharacteristic
489C22×C42—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394C2×D311yescharacteristic, complemented
517#394C2×D311yescharacteristic, complemented
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#392C2×D311yescharacteristic, complemented
529#392C2×D311yescharacteristic, complemented
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#389—31no—
539#389—31no—
540#388—31no—
541#388—31no—
542#387—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#387—31no—
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386C2×D311yescharacteristic
572#386C2×D311yescharacteristic, complemented
573#386C2×D311yescharacteristic, complemented
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385C2×D311yescharacteristic
580#382—31no—
581#380—31no—
582#380—31no—
583#379—31no—
584#379—31no—
585#379—31no—
586#379—31no—
587#379—31no—
588#379—31no—
589#379—31no—
590#379C2×D311yescharacteristic
591C4×C4⋊C4—31no—
592C4×C22⋊C4—31no—
593C4×C22⋊C4—31no—
594#376—31no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—22no—
600C24×C3—22no—
601C24×C3—22no—
602C24×C3—22no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3—41no—
606C24×C3—41no—
607C24×C3—41no—
608C24×C3—41no—
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C24×C3C2411yescharacteristic
612C24×C3C2411yescharacteristic
613C24×C3C2411yescharacteristic
614C24×C3C2411yescharacteristic
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—22no—
623C23×D3—41no—
624C23×D3—41no—
625C23×D3—41no—
626C23×D3—41no—
627C23×D3—41no—
628C23×D3—41no—
629C23×D3C2411yescharacteristic
630C23×D3C2411yescharacteristic
631C23×D3C2411yescharacteristic
632C23×D3C2411yescharacteristic
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—22no—
639C2×C3×D4—22no—
640C2×C3×D4—22no—
641C2×C3×D4—22no—
642C2×C3×D4—22no—
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—416no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4C2×D414yes—
661C22×C3×C4—22no—
662C22×C3×C4—22no—
663C22×C3×C4—22no—
664C22×C3×C4—22no—
665C22×C3×C4—41no—
666C22×C3×C4—41no—
667C22×C3×C4—41no—
668C22×C3×C4—41no—
669C22×C3×C4—41no—
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C22×C3×C4C2411yescharacteristic
674C22×C3×C4C2411yescharacteristic
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2411yescharacteristic
677C22×C3×C4C2411yescharacteristic
678C22×C3×C4C2411yescharacteristic
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—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
708C2×#67—22no—
709C2×#67—416no—
710C2×#67—416no—
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×#67—41no—
725C2×#67—41no—
726C2×#67—41no—
727C2×#67—416no—
728C2×#67—416no—
729C2×#67—41no—
730C2×#67—41no—
731C2×#67—41no—
732C2×#67—41no—
733C2×#67—41no—
734C2×#67—41no—
735C2×#67—41no—
736C2×#67—41no—
737C2×#67—41no—
738C2×#67—41no—
739C2×#67C2×D414yes—
740C2×#67C2×D414yes—
741C2×#67C2×D414yes—
742C2×#67C2×D414yes—
743C22×Dic3—22no—
744C22×Dic3—22no—
745C22×Dic3—22no—
746C22×Dic3—22no—
747C22×Dic3—22no—
748C22×Dic3—22no—
749C22×Dic3—22no—
750C22×Dic3—22no—
751C22×Dic3—22no—
752C22×Dic3—41no—
753C22×Dic3—41no—
754C22×Dic3—41no—
755C22×Dic3—41no—
756C22×Dic3—41no—
757C22×Dic3#4114yes—
758C22×Dic3C2411yescharacteristic
759C22×Dic3C2411yescharacteristic
760C22×Dic3C2411yescharacteristic
761C22×Dic3C2411yescharacteristic
762C22×Dic3C2411yescharacteristic
763C22×Dic3C2411yescharacteristic
764C22×Dic3C2411yescharacteristic
765C22×Dic3C2411yescharacteristic
766C22×Dic3C2411yescharacteristic
767C22×Dic3C2411yescharacteristic
768C22×Dic3C2411yescharacteristic
769C22×Dic3C2411yescharacteristic
770C2×D12—22no—
771C2×D12—22no—
772C2×D12—22no—
773C2×D12—22no—
774C2×D12—22no—
775C2×D12—41no—
776C2×D12—41no—
777C2×D12—41no—
778C2×D12—41no—
779C2×D12—41no—
780C2×D12—41no—
781C2×D12—416no—
782C2×D12C2×D414yes—
783C2×C4×D3—22no—
784C2×C4×D3—22no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3—41no—
791C2×C4×D3—41no—
792C2×C4×D3—41no—
793C2×C4×D3—41no—
794C2×C4×D3—41no—
795C3×C4⋊C4—22no—
796C3×C4⋊C4—22no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—22no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4—41no—
806C3×C22⋊C4—41no—
807C3×C22⋊C4—41no—
808C3×C22⋊C4—41no—
809C3×C22⋊C4—41no—
810C3×C22⋊C4—41no—
811C3×C22⋊C4—41no—
812#217—22no—
813#217—22no—
814#217—22no—
815#217—22no—
816#217—22no—
817#217—22no—
818#217—22no—
819#217—22no—
820#217—22no—
821#217—22no—
822#217—41no—
823#217—41no—
824#217—41no—
825#217—41no—
826#217—41no—
827#217—41no—
828#217—41no—
829#217—41no—
830#217—41no—
831#217—41no—
832#217—41no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
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)⋊C4—41no—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857C4⋊Dic3—22no—
858C4⋊Dic3—22no—
859C4⋊Dic3—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—22no—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—22no—
867Dic3⋊C4—22no—
868Dic3⋊C4—22no—
869Dic3⋊C4—22no—
870Dic3⋊C4—22no—
871Dic3⋊C4—22no—
872C4×Dic3—22no—
873C4×Dic3—22no—
874C4×Dic3—22no—
875C4×Dic3—22no—
876C4×Dic3—22no—
877C4×Dic3—22no—
878C4×Dic3C2×D414yes—
879C25—31no—
880C25—31no—
881C25C22×D311yescharacteristic
882C25C22×D311yescharacteristic
883C22×D4—24no—
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—31no—
907C22×D4—31no—
908C22×D4—42no—
909C22×D4—42no—
910C22×D4—64no—
911C22×D4—64no—
912C22×D4—64no—
913C22×D4—64no—
914C22×D4—64no—
915C22×D4—64no—
916C22×D4—64no—
917C22×D4—122no—
918C22×D4—122no—
919C22×D4—122no—
920C22×D4—122no—
921C22×D4—122no—
922C22×D4—122no—
923C22×D4—122no—
924C22×D4—122no—
925C22×D4C22×D311yescharacteristic
926C22×D4C22×D311yescharacteristic
927C22×D4C22×D311yescharacteristic
928C22×D4C22×D311yescharacteristic
929C22×D4C22×D311yescharacteristic
930C22×D4C22×D311yescharacteristic
931C22×D4C22×D311yescharacteristic
932C22×D4C22×D311yescharacteristic
933C22×D4C22×D311yescharacteristic
934C23×C4—31no—
935C23×C4—31no—
936C23×C4—31no—
937C23×C4—31no—
938C23×C4—31no—
939C23×C4—31no—
940C23×C4—31no—
941C23×C4—31no—
942C23×C4—31no—
943C23×C4C22×D311yescharacteristic
944C23×C4C22×D311yescharacteristic
945C23×C4C22×D311yescharacteristic
946#127—38no—
947#127—64no—
948#127—64no—
949#127—64no—
950#127—64no—
951#127—64no—
952#127—64no—
953#127—64no—
954#125—64no—
955#123—64no—
956#123—64no—
957#123—64no—
958#123—64no—
959#123—122no—
960#123—122no—
961#123—122no—
962#123—122no—
963#121—24no—
964#121—42no—
965#121—64no—
966#121—64no—
967#121—64no—
968#121—64no—
969#121—64no—
970#121—122no—
971#121—122no—
972#121—122no—
973#121—122no—
974#121—122no—
975#120—42no—
976#120—42no—
977#120—122no—
978#120—122no—
979C4×D4—64no—
980C4×D4—64no—
981C4×D4—64no—
982C4×D4—122no—
983C4×D4—122no—
984#117—64no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4—31no—
990C2×C4⋊C4—31no—
991C2×C4⋊C4—31no—
992C2×C4⋊C4—31no—
993C2×C4⋊C4—31no—
994C2×C4⋊C4—31no—
995C2×C4⋊C4—31no—
996C2×C4⋊C4—31no—
997C2×C4⋊C4—31no—
998C2×C4⋊C4—31no—
999C2×C4⋊C4—31no—
1000C2×C4⋊C4C22×D311yescharacteristic
1001C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—31no—
1042C2×C22⋊C4—31no—
1043C2×C22⋊C4—31no—
1044C2×C22⋊C4—31no—
1045C2×C22⋊C4—31no—
1046C2×C22⋊C4—31no—
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—122no—
1049C2×C22⋊C4—122no—
1050C2×C22⋊C4—122no—
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C22⋊C4C22×D311yescharacteristic
1057C2×C22⋊C4C22×D311yescharacteristic
1058C2×C22⋊C4C22×D311yescharacteristic
1059C2×C22⋊C4C22×D311yescharacteristic
1060C2×C22⋊C4C22×D311yescharacteristic
1061C2×C22⋊C4C22×D311yescharacteristic
1062C2×C22⋊C4C22×D311yescharacteristic
1063C2×C22⋊C4C22×D311yescharacteristic
1064C2×C22⋊C4C22×D311yescharacteristic
1065C2×C22⋊C4C22×D311yescharacteristic
1066C2×C42—31no—
1067C2×C42—31no—
1068C2×C42—31no—
1069C2×C42—31no—
1070C2×C42—31no—
1071C2×C42—31no—
1072C2×C42—31no—
1073C2×C42—64no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95—31no—
1079#95—31no—
1080#95—31no—
1081#95—31no—
1082#95—31no—
1083#95—31no—
1084#95—31no—
1085#95—31no—
1086#95—31no—
1087#95—31no—
1088#95—31no—
1089#95—31no—
1090#95—31no—
1091#95—31no—
1092#95C22×D311yescharacteristic
1093#95C22×D311yescharacteristic
1094#95C22×D311yescharacteristic
1095#95C22×D311yescharacteristic
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×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—21no—
1124C23×C3—21no—
1125C23×C3—21no—
1126C23×C3—21no—
1127C23×C3—21no—
1128C23×C3—21no—
1129C23×C3—21no—
1130C23×C3—21no—
1131C23×C3—21no—
1132C23×C3—21no—
1133C23×C3—44no—
1134C23×C3—44no—
1135C23×C3—44no—
1136C23×C3—44no—
1137C23×C3—44no—
1138C23×C3—44no—
1139C23×C3—44no—
1140C23×C3—44no—
1141C23×C3—82no—
1142C23×C3—82no—
1143C23×C3—82no—
1144C23×C3—82no—
1145C23×C3—82no—
1146C23×C3—82no—
1147C23×C3C22×D412yes—
1148C23×C3C22×D412yes—
1149C23×C3C2×#4112yes—
1150C23×C3H(5,𝔽2)12yes—
1151C23×C3H(5,𝔽2)12yes—
1152C23×C3C2511yescharacteristic
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3—21no—
1166C22×D3—21no—
1167C22×D3—21no—
1168C22×D3—21no—
1169C22×D3—21no—
1170C22×D3—21no—
1171C22×D3—21no—
1172C22×D3—21no—
1173C22×D3—21no—
1174C22×D3—21no—
1175C22×D3—21no—
1176C22×D3—21no—
1177C22×D3—21no—
1178C22×D3—21no—
1179C22×D3—44no—
1180C22×D3—44no—
1181C22×D3—44no—
1182C22×D3—44no—
1183C22×D3—44no—
1184C22×D3—44no—
1185C22×D3—44no—
1186C22×D3—44no—
1187C22×D3—82no—
1188C22×D3—82no—
1189C22×D3—82no—
1190C22×D3—82no—
1191C22×D3—82no—
1192C22×D3—82no—
1193C22×D3C22×D412yes—
1194C22×D3C22×D412yes—
1195C3×D4—44no—
1196C3×D4—44no—
1197C3×D4—44no—
1198C3×D4—44no—
1199C3×D4—44no—
1200C3×D4—82no—
1201C3×D4—82no—
1202C3×D4—82no—
1203C3×D4—82no—
1204C2×C3×C4—28no—
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—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—21no—
1221C2×C3×C4—21no—
1222C2×C3×C4—21no—
1223C2×C3×C4—21no—
1224C2×C3×C4—21no—
1225C2×C3×C4—21no—
1226C2×C3×C4—21no—
1227C2×C3×C4—21no—
1228C2×C3×C4—21no—
1229C2×C3×C4—21no—
1230C2×C3×C4—82no—
1231C2×C3×C4—82no—
1232C2×C3×C4C22×D412yes—
1233C2×C3×C4H(5,𝔽2)12yes—
1234#67—28no—
1235#67—28no—
1236#67—44no—
1237#67—44no—
1238#67—44no—
1239#67—44no—
1240#67—44no—
1241#67—44no—
1242#67—44no—
1243#67—44no—
1244#67—44no—
1245#67—44no—
1246#67—44no—
1247#67—44no—
1248#67—44no—
1249#67—44no—
1250#67—82no—
1251#67—82no—
1252#67—82no—
1253#67—82no—
1254C2×Dic3—28no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—28no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—21no—
1277C2×Dic3—21no—
1278C2×Dic3—21no—
1279C2×Dic3—21no—
1280C2×Dic3—21no—
1281C2×Dic3—21no—
1282C2×Dic3—21no—
1283C2×Dic3—21no—
1284C2×Dic3—21no—
1285C2×Dic3—21no—
1286C2×Dic3—44no—
1287C2×Dic3—82no—
1288C2×Dic3—82no—
1289C2×Dic3C22×D412yes—
1290C2×Dic3C22×D412yes—
1291C2×Dic3C2×#4112yes—
1292C2×Dic3C2×#4112yes—
1293C2×Dic3H(5,𝔽2)12yes—
1294C2×Dic3H(5,𝔽2)12yes—
1295D12—44no—
1296D12—44no—
1297D12—44no—
1298D12—44no—
1299C4×D3—82no—
1300C4×D3—82no—
1301C4×D3—82no—
1302C4×D3—82no—
1303C24—22no—
1304C24—22no—
1305C24—22no—
1306C24—22no—
1307C24—22no—
1308C24—22no—
1309C24—22no—
1310C24—22no—
1311C24—31no—
1312C24—31no—
1313C24—31no—
1314C24—31no—
1315C24—41no—
1316C24—41no—
1317C24—41no—
1318C24—41no—
1319C24—41no—
1320C24—41no—
1321C24—62no—
1322C24—62no—
1323C24—62no—
1324C24—62no—
1325C24—62no—
1326C24—62no—
1327C24—62no—
1328C24—62no—
1329C24—121no—
1330C24—121no—
1331C24—121no—
1332C24—121no—
1333C24—121no—
1334C24—121no—
1335C24C23×D311yescharacteristic
1336C24C23×D311yescharacteristic
1337C24C23×D311yescharacteristic
1338C24C23×D311yescharacteristic
1339C24C23×D311yescharacteristic
1340C24C23×D311yescharacteristic
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—34no—
1352C2×D4—34no—
1353C2×D4—34no—
1354C2×D4—34no—
1355C2×D4—34no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—416no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
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—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—62no—
1396C2×D4—62no—
1397C2×D4—62no—
1398C2×D4—62no—
1399C2×D4—62no—
1400C2×D4—62no—
1401C2×D4—62no—
1402C2×D4—62no—
1403C2×D4—62no—
1404C2×D4—62no—
1405C2×D4—62no—
1406C2×D4—62no—
1407C2×D4—62no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—1216no—
1415C2×D4—1216no—
1416C2×D4—1216no—
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—121no—
1431C2×D4—121no—
1432C2×D4—121no—
1433C2×D4—1216no—
1434C2×D4—1216no—
1435C2×D4—121no—
1436C2×D4—121no—
1437C2×D4—121no—
1438C2×D4—121no—
1439C2×D4—121no—
1440C2×D4—121no—
1441C2×D4—121no—
1442C2×D4—121no—
1443C2×D4—121no—
1444C2×D4—121no—
1445C2×D4D3×D414yes—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—31no—
1451C22×C4—34no—
1452C22×C4—31no—
1453C22×C4—31no—
1454C22×C4—31no—
1455C22×C4—31no—
1456C22×C4—31no—
1457C22×C4—31no—
1458C22×C4—31no—
1459C22×C4—31no—
1460C22×C4—31no—
1461C22×C4—31no—
1462C22×C4—31no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—62no—
1469C22×C4—62no—
1470C22×C4—62no—
1471C22×C4—62no—
1472C22×C4—62no—
1473C22×C4—62no—
1474C22×C4—62no—
1475C22×C4—62no—
1476C22×C4—62no—
1477C22×C4—62no—
1478C22×C4—62no—
1479C22×C4—121no—
1480C22×C4—121no—
1481C22×C4—121no—
1482C22×C4—121no—
1483C22×C4—121no—
1484C22×C4—121no—
1485C22×C4—121no—
1486C22×C4—121no—
1487C22×C4—121no—
1488C22×C4—121no—
1489C22×C4—121no—
1490C22×C4—121no—
1491C22×C4—121no—
1492C22×C4—121no—
1493C22×C4—121no—
1494C22×C4C23×D311yescharacteristic
1495C22×C4C23×D311yescharacteristic
1496C22×C4C23×D311yescharacteristic
1497C22×C4C23×D311yescharacteristic
1498C22×C4C23×D311yescharacteristic
1499C22×C4C23×D311yescharacteristic
1500C22×C4C23×D311yescharacteristic
1501C22×C4C23×D311yescharacteristic
1502C22×C4C23×D311yescharacteristic
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—62no—
1506C4⋊C4—62no—
1507C4⋊C4—62no—
1508C4⋊C4—62no—
1509C4⋊C4—62no—
1510C4⋊C4—62no—
1511C4⋊C4—62no—
1512C4⋊C4—62no—
1513C4⋊C4—62no—
1514C4⋊C4—62no—
1515C4⋊C4—62no—
1516C4⋊C4—62no—
1517C4⋊C4—62no—
1518C4⋊C4—62no—
1519C4⋊C4—62no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—62no—
1540C22⋊C4—62no—
1541C22⋊C4—62no—
1542C22⋊C4—62no—
1543C22⋊C4—62no—
1544C22⋊C4—62no—
1545C22⋊C4—62no—
1546C22⋊C4—62no—
1547C22⋊C4—62no—
1548C22⋊C4—62no—
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—
1560C22⋊C4—121no—
1561C22⋊C4—121no—
1562C22⋊C4—121no—
1563C22⋊C4—121no—
1564C22⋊C4—121no—
1565C22⋊C4—121no—
1566C22⋊C4—121no—
1567C22⋊C4—121no—
1568C22⋊C4—121no—
1569C22⋊C4—121no—
1570C22⋊C4—121no—
1571C22⋊C4—121no—
1572C22⋊C4—121no—
1573C22⋊C4—121no—
1574C22⋊C4—121no—
1575C22⋊C4—121no—
1576C22⋊C4—121no—
1577C22⋊C4—121no—
1578C22⋊C4—121no—
1579C22⋊C4—121no—
1580C42—34no—
1581C42—62no—
1582C42—62no—
1583C42—62no—
1584C42—62no—
1585C42—62no—
1586C42—62no—
1587C22×C3—22no—
1588C22×C3—22no—
1589C22×C3—22no—
1590C22×C3—22no—
1591C22×C3—22no—
1592C22×C3—22no—
1593C22×C3—22no—
1594C22×C3—22no—
1595C22×C3—22no—
1596C22×C3—22no—
1597C22×C3—22no—
1598C22×C3—22no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3—41no—
1602C22×C3—41no—
1603C22×C3—41no—
1604C22×C3—41no—
1605C22×C3—41no—
1606C22×C3—41no—
1607C22×C3—41no—
1608C22×C3—41no—
1609C22×C3—41no—
1610C22×C3—41no—
1611C22×C3—41no—
1612C22×C3—41no—
1613C22×C3—41no—
1614C22×C3—41no—
1615C22×C3—41no—
1616C22×C3—41no—
1617C22×C3—41no—
1618C22×C3—41no—
1619C22×C3—41no—
1620C22×C3—41no—
1621C22×C3—41no—
1622C22×C3—41no—
1623C22×C3—41no—
1624C22×C3—41no—
1625C22×C3—41no—
1626C22×C3—41no—
1627C22×C3—41no—
1628C22×C3—88no—
1629C22×C3—88no—
1630C22×C3#54014yescomplemented
1631C22×C3C23×D411yescharacteristic
1632C22×C3C22×#4111yescharacteristic
1633C22×C3C2×H(5,𝔽2)11yescharacteristic
1634C22×C3C2×H(5,𝔽2)11yescharacteristic
1635C22×C3C2×H(5,𝔽2)11yescharacteristic
1636C22×C3C2×H(5,𝔽2)11yescharacteristic
1637C22×C3C2×H(5,𝔽2)11yescharacteristic
1638C2×D3—22no—
1639C2×D3—22no—
1640C2×D3—22no—
1641C2×D3—22no—
1642C2×D3—22no—
1643C2×D3—22no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—41no—
1650C2×D3—41no—
1651C2×D3—41no—
1652C2×D3—41no—
1653C2×D3—41no—
1654C2×D3—41no—
1655C2×D3—41no—
1656C2×D3—41no—
1657C2×D3—41no—
1658C2×D3—41no—
1659C2×D3—41no—
1660C2×D3—41no—
1661C2×D3—41no—
1662C2×D3—41no—
1663C2×D3—41no—
1664C2×D3—41no—
1665C2×D3—41no—
1666C2×D3—88no—
1667C2×D3—88no—
1668C3×C4—22no—
1669C3×C4—22no—
1670C3×C4—41no—
1671C3×C4—41no—
1672C3×C4—41no—
1673C3×C4—41no—
1674C3×C4—41no—
1675C3×C4—41no—
1676C3×C4—41no—
1677Dic3—22no—
1678Dic3—22no—
1679Dic3—22no—
1680Dic3—41no—
1681Dic3—41no—
1682Dic3—41no—
1683Dic3—41no—
1684Dic3—41no—
1685Dic3—41no—
1686Dic3—41no—
1687Dic3—41no—
1688Dic3#54614yes—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—32no—
1727C23—32no—
1728C23—44no—
1729C23—44no—
1730C23—44no—
1731C23—44no—
1732C23—44no—
1733C23—44no—
1734C23—44no—
1735C23—44no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—61no—
1741C23—61no—
1742C23—61no—
1743C23—61no—
1744C23—61no—
1745C23—61no—
1746C23—61no—
1747C23—61no—
1748C23—61no—
1749C23—61no—
1750C23—61no—
1751C23—61no—
1752C23—61no—
1753C23—61no—
1754C23—61no—
1755C23—61no—
1756C23—61no—
1757C23—61no—
1758C23—61no—
1759C23—61no—
1760C23—61no—
1761C23—61no—
1762C23—82no—
1763C23—82no—
1764C23—82no—
1765C23—82no—
1766C23—82no—
1767C23—82no—
1768C23—124no—
1769C23—124no—
1770C23—124no—
1771C23—124no—
1772C23—124no—
1773C23—124no—
1774C23—124no—
1775C23—124no—
1776C23—242no—
1777C23—242no—
1778C23—242no—
1779C23—242no—
1780C23—242no—
1781C23—242no—
1782C23C2×D3×D412yes—
1783C23C2×D3×D412yes—
1784C23#100412yes—
1785C23#100412yes—
1786C23D3×#4112yes—
1787C23C24×D311yescharacteristic
1788D4—44no—
1789D4—44no—
1790D4—44no—
1791D4—44no—
1792D4—44no—
1793D4—68no—
1794D4—68no—
1795D4—82no—
1796D4—82no—
1797D4—82no—
1798D4—82no—
1799D4—124no—
1800D4—124no—
1801D4—124no—
1802D4—124no—
1803D4—124no—
1804D4—124no—
1805D4—124no—
1806D4—124no—
1807D4—124no—
1808D4—124no—
1809D4—124no—
1810D4—124no—
1811D4—124no—
1812D4—124no—
1813D4—124no—
1814D4—124no—
1815D4—124no—
1816D4—124no—
1817D4—242no—
1818D4—242no—
1819D4—242no—
1820D4—242no—
1821C2×C4—28no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—32no—
1848C2×C4—32no—
1849C2×C4—32no—
1850C2×C4—32no—
1851C2×C4—32no—
1852C2×C4—32no—
1853C2×C4—68no—
1854C2×C4—68no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—61no—
1868C2×C4—61no—
1869C2×C4—61no—
1870C2×C4—61no—
1871C2×C4—61no—
1872C2×C4—61no—
1873C2×C4—61no—
1874C2×C4—61no—
1875C2×C4—61no—
1876C2×C4—61no—
1877C2×C4—61no—
1878C2×C4—61no—
1879C2×C4—61no—
1880C2×C4—61no—
1881C2×C4—61no—
1882C2×C4—61no—
1883C2×C4—61no—
1884C2×C4—61no—
1885C2×C4—82no—
1886C2×C4—82no—
1887C2×C4—124no—
1888C2×C4—242no—
1889C2×C4—242no—
1890C2×C4—242no—
1891C2×C4—242no—
1892C2×C4—242no—
1893C2×C4—242no—
1894C2×C4C2×D3×D412yes—
1895C2×C4#100412yes—
1896C2×C3—24no—
1897C2×C3—42no—
1898C2×C3—42no—
1899C2×C3—81no—
1900C2×C3—81no—
1901C2×C3—81no—
1902C2×C3C2×#54011yescharacteristic
1903C2×C3C2×#54611yescharacteristic
1904C2×C3#348411yescharacteristic
1905C2×C3#348411yescharacteristic
1906C2×C3#350811yescharacteristic
1907C2×C3#354311yescharacteristic
1908C2×C3#354311yescharacteristic
1909D3—42no—
1910D3—42no—
1911D3—81no—
1912D3—81no—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—62no—
1955C22—62no—
1956C22—62no—
1957C22—62no—
1958C22—62no—
1959C22—62no—
1960C22—88no—
1961C22—88no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—121no—
1967C22—121no—
1968C22—121no—
1969C22—121no—
1970C22—121no—
1971C22—121no—
1972C22—121no—
1973C22—121no—
1974C22—121no—
1975C22—121no—
1976C22—121no—
1977C22—121no—
1978C22—121no—
1979C22—121no—
1980C22—121no—
1981C22—121no—
1982C22—121no—
1983C22—121no—
1984C22—248no—
1985C22—248no—
1986C22#561514yescomplemented
1987C22C22×D3×D411yescharacteristic
1988C22C2×#100411yescharacteristic
1989C22C2×#100411yescharacteristic
1990C22C2×#100411yescharacteristic
1991C22C2×D3×#4111yescharacteristic
1992C22D3×H(5,𝔽2)11yescharacteristic
1993C22D3×H(5,𝔽2)11yescharacteristic
1994C4—22no—
1995C4—22no—
1996C4—34no—
1997C4—41no—
1998C4—41no—
1999C4—41no—
2000C4—41no—
2001C4—41no—
2002C4—41no—
2003C4—41no—
2004C4—62no—
2005C4—62no—
2006C4—62no—
2007C4—121no—
2008C4—121no—
2009C4—121no—
2010C4—121no—
2011C4—121no—
2012C4—121no—
2013C4—121no—
2014C4—121no—
2015C3#3769411yescharacteristic, complemented, Sylow
2016C2—24no—
2017C2—42no—
2018C2—42no—
2019C2—81no—
2020C2—81no—
2021C2—81no—
2022C2—122no—
2023C2—122no—
2024C2—241no—
2025C2—241no—
2026C2#8591911yescharacteristic
2027C2C2×#561511yescharacteristic
2028C2#8630311yescharacteristic
2029C2#8661611yescharacteristic
2030C2#8662011yescharacteristic
2031C2#8663311yescharacteristic
2032C2D3×#54611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2410C2
hypercenter#2410D3
hypocenterC3#37694
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C22×#940C2semidirect
2. C2×#5615C2semidirect
3. C3×#2410C2semidirect
4. #84047C2semidirect
5. #82717C2semidirect
6. #82683C2semidirect
7. #82650C2semidirect
8. #82606C2semidirect
9. #82605C2semidirect
10. #82582C2semidirect
11. #82582C2semidirect
12. #82126C2semidirect
13. C22⋊C4×#67C2semidirect
14. #77152C2semidirect
15. #77151C2semidirect
16. #76984C2semidirect
17. #76907C2semidirect
18. #76768C2semidirect
19. #76711C2semidirect
20. #76698C2semidirect
21. #76671C2semidirect
22. #74928C2semidirect
23. #74887C2semidirect
24. #74820C2semidirect
25. #74708C2semidirect
26. #74667C2semidirect
27. #74657C2semidirect
28. #74599C2semidirect
29. #74586C2semidirect
30. #73853C2semidirect
31. #73850C2semidirect
39. C2×C3×#121C22semidirect
40. C2×C3×#121C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#939C22semidirect
58. C2×#939C22semidirect
59. C2×#939C22semidirect
60. C2×#938C22semidirect
61. C2×#938C22semidirect
64. C2×#935C22semidirect
65. C2×#935C22semidirect
67. C2×#929C22semidirect
68. C2×#929C22semidirect
69. C2×C4×#67C22semidirect
70. C2×C4×#67C22semidirect
73. C2×#894C22semidirect
74. C2×#894C22semidirect
75. C2×#889C22semidirect
76. C2×#884C22semidirect
77. C2×#884C22semidirect
78. C2×#883C22semidirect
79. C2×#883C22semidirect
80. C2×#67⋊C4C22semidirect
81. C2×#67⋊C4C22semidirect
84. C2×#877C22semidirect
85. C3×#394C22semidirect
86. C3×#394C22semidirect
87. C3×#392C22semidirect
88. C3×#392C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
103. #5223C22semidirect
104. #5223C22semidirect
105. #5222C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5213C22semidirect
113. #5213C22semidirect
114. #5213C22semidirect
115. #5213C22semidirect
118. #4991C22semidirect
119. #4991C22semidirect
120. #4980C22semidirect
121. #4978C22semidirect
122. #4976C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
130. #4961C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4958C22semidirect
142. #4958C22semidirect
143. #4958C22semidirect
144. #4958C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4957C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
155. #4956C22semidirect
156. #4956C22semidirect
157. #4956C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
160. #4956C22semidirect
168. #4945C22semidirect
169. #4944C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4672C22semidirect
175. #4672C22semidirect
176. #4672C22semidirect
177. #4672C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4653C22semidirect
185. #4652C22semidirect
186. #4650C22semidirect
187. #4649C22semidirect
188. #4648C22semidirect
189. #4647C22semidirect
210. #2410D3semidirect
339. #940D4semidirect
473. C2×#121C2×D3semidirect
474. C2×#121C2×D3semidirect
516. #394C2×D3semidirect
517. #394C2×D3semidirect
528. #392C2×D3semidirect
529. #392C2×D3semidirect
572. #386C2×D3semidirect
573. #386C2×D3semidirect
1630. C22×C3#540semidirect
1986. C22#5615semidirect
2015. C3#37694semidirect

Maximal subgroups

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

subgroupindex
C22×#9402
C2×#56152
C3×#24102
#840472
#827172
#826832
#826502
#826062
#826052
#825822
#821262
C22⋊C4×#672
#771522
#771512
#769842
#769072
#767682
#767112
#766982
#766712
#749282
#748872
#748202
#747082
#746672
#746572
#745992
#745862
#738532
#738502
#376943