Finite Group Databasebeta

← #11235333

Subgroups — #11235333

Order 768.

3174 conjugacy classes of subgroups.

The subgroup lattice has 2018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5620C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3C3×#2688C211yesmaximal, characteristic, complemented
4#82713C211yesmaximal, characteristic, complemented
5#82702C211yesmaximal, characteristic, complemented
6#78401C211yesmaximal, characteristic, complemented
7#78144C211yesmaximal, characteristic, complemented
8#77729C211yesmaximal, characteristic, complemented
9#77690C211yesmaximal, characteristic, complemented
10#77673C211yesmaximal, characteristic, complemented
11#77482C211yesmaximal, characteristic, complemented
12#77133C211yesmaximal, characteristic, complemented
13#77114C211yesmaximal, characteristic, complemented
14#76764C211yesmaximal, characteristic, complemented
15#76713C211yesmaximal, characteristic, complemented
16#76673C211yesmaximal, characteristic, complemented
17#76669C211yesmaximal, characteristic, complemented
18#74935C211yesmaximal, characteristic, complemented
19#74922C211yesmaximal, characteristic, complemented
20#74888C211yesmaximal, characteristic, complemented
21#74887C211yesmaximal, characteristic, complemented
22#74884C211yesmaximal, characteristic, complemented
23#74884C211yesmaximal, characteristic, complemented
24#74883C211yesmaximal, characteristic, complemented
25#74814C211yesmaximal, characteristic, complemented
26#74800C211yesmaximal, characteristic, complemented
27#74792C211yesmaximal, characteristic, complemented
28#74656C211yesmaximal, characteristic, complemented
29#74530C211yesmaximal, characteristic, complemented
30#74126C211yesmaximal, characteristic, complemented
31#74097C211yesmaximal, characteristic, complemented
32#45444—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic, complemented
36C23×D12C2211yescharacteristic
37C23×C4×D3C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40C2×#940C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic, complemented
46C2×#939C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic, complemented
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#938C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic, complemented
53C2×#937C2211yescharacteristic, complemented
54C2×#937C2211yescharacteristic, complemented
55C2×#937C2211yescharacteristic, complemented
56C2×#937C2211yescharacteristic, complemented
57C2×#930C2211yescharacteristic, complemented
58C2×#930C2211yescharacteristic, complemented
59C2×#929C2211yescharacteristic, complemented
60C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
61#5620—28no—
62D3×#121—28no—
63C2×#898C2211yescharacteristic, complemented
64C2×#895C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×D3×C4⋊C4C2211yescharacteristic, complemented
68C2×#886C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic, complemented
79C2×#882C2211yescharacteristic, complemented
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×D3×C22⋊C4C2211yescharacteristic, complemented
83C2×#879C2211yescharacteristic, complemented
84C3×#400C2211yescharacteristic, complemented
85C3×#397C2211yescharacteristic, complemented
86C3×#397C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic, complemented
94C3×#386C2211yescharacteristic, complemented
95C3×#385C2211yescharacteristic, complemented
96C3×#381C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4960C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic, complemented
142#4955C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4946C2211yescharacteristic, complemented
145#4946C2211yescharacteristic, complemented
146#4946C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4942C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4676C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4675C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4671C2211yescharacteristic, complemented
167#4671C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#560—31no—
191C22×#121—31no—
192#2849—31no—
193#2847—31no—
194#2815—31no—
195#2813—31no—
196#2714—31no—
197#2703—31no—
198#2699—31no—
199#2691—31no—
200#2688—31no—
201#2688D311yescharacteristic, complemented
202#2678—31no—
203#2675—31no—
204#2673—31no—
205#2673—31no—
206#2669—31no—
207#2668—31no—
208#2481—31no—
209#2480—31no—
210#2443—31no—
211#2433—31no—
212#2424—31no—
213#2412—31no—
214#2410—31no—
215#2410—31no—
216#2410—31no—
217#2408—31no—
218#2403—31no—
219#2403—31no—
220#2377—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
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
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C2×D3×D4—24no—
254C2×D3×D4—24no—
255C2×D3×D4—24no—
256C2×D3×D4—42no—
257C2×D3×D4—42no—
258C2×D3×D4—42no—
259C2×D3×D4—42no—
260C2×D3×D4—42no—
261C2×D3×D4—42no—
262C22×D12—42no—
263C22×D12—42no—
264C22×D12—42no—
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×C4×D3—24no—
277C22×C4×D3—42no—
278C22×C4×D3—42no—
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C3×#121—24no—
286C3×#121—24no—
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312#940—24no—
313#940—42no—
314#939—24no—
315#939—24no—
316#939—24no—
317#939—24no—
318#939—42no—
319#939—42no—
320#939—42no—
321#939—42no—
322#938D418yescomplemented
323#937—24no—
324#937—24no—
325#937—42no—
326#937—42no—
327#937—42no—
328#937—42no—
329#930—24no—
330#930—24no—
331#929—24no—
332C2×(C2×D3)⋊C4—42no—
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#898—24no—
389#895—24no—
390#894—24no—
391#894—42no—
392D3×C4⋊C4—24no—
393#886—24no—
394#884—24no—
395#884—24no—
396#884—24no—
397#884—42no—
398#884—42no—
399#882—24no—
400#882—42no—
401#882—42no—
402#882—42no—
403#882—42no—
404#882—42no—
405#67⋊C4—42no—
406D3×C22⋊C4—24no—
407D3×C22⋊C4—24no—
408#879—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
435C23×D4—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439C24×C4—31no—
440#560—68no—
441C2×#127—31no—
442C2×#127—31no—
443C2×#126—31no—
444C2×#126—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—68no—
467C2×#121C2×D311yescharacteristic
468C2×#121C2×D311yescharacteristic, complemented
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×D4—31no—
482C22×C4⋊C4—31no—
483C22×C22⋊C4—31no—
484C22×C22⋊C4—31no—
485C22×C22⋊C4—31no—
486#400—31no—
487#400C2×D311yescharacteristic, complemented
488#399—31no—
489#398—31no—
490#397—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397C2×D311yescharacteristic, complemented
496#397C2×D311yescharacteristic, complemented
497#396—31no—
498#396—31no—
499#396—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#394C2×D311yescharacteristic, complemented
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#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—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#386C2×D311yescharacteristic, complemented
568#386C2×D311yescharacteristic, complemented
569#386C2×D311yescharacteristic, complemented
570#386C2×D311yescharacteristic, complemented
571#386C2×D311yescharacteristic, complemented
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385C2×D311yescharacteristic, complemented
580#381—31no—
581#381—31no—
582#381C2×D311yescharacteristic, complemented
583#380—31no—
584#380—31no—
585#380—31no—
586#380—31no—
587#379—31no—
588#379—31no—
589#379—31no—
590#379—31no—
591C4×C22⋊C4—31no—
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3—41no—
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
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×D4C2×D414yes—
648C22×C3×C4—22no—
649C22×C3×C4—22no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
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
668C2×#67—22no—
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—41no—
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×#67C2×D414yes—
715C2×#67C2×D414yescomplemented
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—22no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735D3×D4—416no—
736D3×D4—416no—
737D3×D4—416no—
738C2×D12—22no—
739C2×D12—22no—
740C2×D12—22no—
741C2×D12—22no—
742C2×D12—22no—
743C2×D12—22no—
744C2×D12—22no—
745C2×D12—22no—
746C2×D12—22no—
747C2×D12—22no—
748C2×D12—22no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12—41no—
753C2×D12—41no—
754C2×D12—41no—
755C2×D12—41no—
756C2×D12—41no—
757C2×D12—41no—
758C2×D12—41no—
759C2×D12—41no—
760C2×D12—41no—
761C2×D12—416no—
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×C4×D3—22no—
773C2×C4×D3—22no—
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—22no—
783C2×C4×D3—416no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3C2×D414yescomplemented
791C3×C4⋊C4—22no—
792C3×C4⋊C4—22no—
793C3×C4⋊C4—41no—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—22no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—41no—
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—
807#217—22no—
808#217—22no—
809#217—22no—
810#217—41no—
811#217—41no—
812#217—41no—
813#217—41no—
814#217C2×D414yes—
815#217C2×D414yescomplemented
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
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—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊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—
854C4⋊Dic3—22no—
855C4⋊Dic3C2×D414yescomplemented
856Dic3⋊C4—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—22no—
862Dic3⋊C4—41no—
863Dic3⋊C4—41no—
864Dic3⋊C4—41no—
865Dic3⋊C4—41no—
866Dic3⋊C4—41no—
867Dic3⋊C4—41no—
868C4×Dic3—22no—
869C4×Dic3—41no—
870C4×Dic3—41no—
871C25—31no—
872C25—31no—
873C25—31no—
874C25—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—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—64no—
903C22×D4—64no—
904C22×D4—64no—
905C22×D4—122no—
906C22×D4—122no—
907C22×D4—122no—
908C22×D4—122no—
909C22×D4—122no—
910C22×D4—122no—
911C22×D4—122no—
912C22×D4—122no—
913C22×D4—122no—
914C22×D4C22×D311yescharacteristic
915C22×D4C22×D311yescharacteristic
916C22×D4C22×D311yescharacteristic
917C22×D4C22×D311yescharacteristic
918C22×D4C22×D311yescharacteristic
919C22×D4C22×D311yescharacteristic
920C23×C4—31no—
921C23×C4—31no—
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—64no—
930C23×C4—122no—
931C23×C4—122no—
932C23×C4C22×D311yescharacteristic
933C23×C4C22×D311yescharacteristic
934C23×C4C22×D311yescharacteristic
935#127—64no—
936#127—122no—
937#126—64no—
938#126—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—122no—
943#121—24no—
944#121—24no—
945#121—38no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—64no—
954#121—64no—
955#121—64no—
956#121—122no—
957#121—122no—
958#121—122no—
959#121—122no—
960#121—122no—
961#121—122no—
962#120—64no—
963#120—64no—
964#120—64no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970#120—122no—
971#120—122no—
972#120—122no—
973#120—122no—
974C4×D4—122no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
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⋊C4—64no—
990C2×C4⋊C4C22×D311yescharacteristic
991C2×C4⋊C4C22×D311yescharacteristic
992C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—64no—
1041C2×C22⋊C4—64no—
1042C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42—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#95C22×D311yescharacteristic
1076#95C22×D311yescharacteristic
1077#95C22×D311yescharacteristic
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084#95C22×D311yescharacteristic
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×C3C22×D412yes—
1111C23×C3C22×D412yes—
1112C23×C3H(5,𝔽2)12yes—
1113C23×C3C2511yescharacteristic
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—28no—
1119C22×D3—21no—
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—21no—
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—44no—
1158C22×D3—44no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—82no—
1169C22×D3—82no—
1170C22×D3—82no—
1171C22×D3—82no—
1172C22×D3—82no—
1173C22×D3—82no—
1174C22×D3—82no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3—82no—
1179C22×D3—82no—
1180C22×D3C22×D412yes—
1181C22×D3H(5,𝔽2)12yes—
1182C22×D3H(5,𝔽2)12yes—
1183C22×D3H(5,𝔽2)12yes—
1184C3×D4—44no—
1185C3×D4—44no—
1186C3×D4—44no—
1187C3×D4—82no—
1188C3×D4—82no—
1189C3×D4—82no—
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—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—44no—
1223C2×C3×C4—44no—
1224C2×C3×C4—82no—
1225C2×C3×C4C22×D412yes—
1226#67—44no—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—44no—
1232#67—44no—
1233#67—82no—
1234#67—82no—
1235#67—82no—
1236#67—82no—
1237#67—82no—
1238#67—82no—
1239#67—82no—
1240#67—82no—
1241#67—82no—
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—21no—
1267C2×Dic3—21no—
1268C2×Dic3—44no—
1269C2×Dic3—82no—
1270C2×Dic3—82no—
1271C2×Dic3C22×D412yes—
1272C2×Dic3C22×D412yes—
1273C2×Dic3C22×D412yes—
1274C2×Dic3H(5,𝔽2)12yes—
1275D12—44no—
1276D12—44no—
1277D12—44no—
1278D12—44no—
1279D12—44no—
1280D12—44no—
1281D12—44no—
1282D12—82no—
1283D12—82no—
1284D12—82no—
1285D12—82no—
1286C4×D3—28no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—44no—
1290C4×D3—44no—
1291C4×D3—44no—
1292C24—31no—
1293C24—31no—
1294C24—31no—
1295C24—31no—
1296C24—31no—
1297C24—31no—
1298C24—62no—
1299C24—62no—
1300C24—62no—
1301C24—62no—
1302C24—62no—
1303C24—62no—
1304C24—62no—
1305C24—62no—
1306C24—62no—
1307C24—62no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—121no—
1313C24—121no—
1314C24—121no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24—121no—
1322C24—121no—
1323C24—121no—
1324C24—121no—
1325C24—121no—
1326C24C23×D311yescharacteristic
1327C24C23×D311yescharacteristic
1328C24C23×D311yescharacteristic
1329C24C23×D311yescharacteristic
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—34no—
1338C2×D4—34no—
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—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
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—121no—
1379C2×D4—121no—
1380C2×D4—121no—
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—1216no—
1401C2×D4—1216no—
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—22no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—31no—
1438C22×C4—31no—
1439C22×C4—34no—
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—41no—
1452C22×C4—41no—
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—62no—
1465C22×C4—62no—
1466C22×C4—62no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—1216no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4—121no—
1478C22×C4—121no—
1479C22×C4—121no—
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C22×C4C23×D311yescharacteristic
1488C22×C4C23×D311yescharacteristic
1489C22×C4C23×D311yescharacteristic
1490C22×C4C23×D311yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—34no—
1494C4⋊C4—41no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—62no—
1498C4⋊C4—62no—
1499C4⋊C4—62no—
1500C4⋊C4—62no—
1501C4⋊C4—62no—
1502C4⋊C4—121no—
1503C4⋊C4—121no—
1504C4⋊C4—121no—
1505C4⋊C4—121no—
1506C4⋊C4—121no—
1507C4⋊C4—121no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—34no—
1513C22⋊C4—34no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
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—62no—
1542C22⋊C4—62no—
1543C22⋊C4—62no—
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—
1560C22⋊C4—121no—
1561C22⋊C4—121no—
1562C22⋊C4—121no—
1563C22⋊C4—121no—
1564C22⋊C4—121no—
1565C22⋊C4—121no—
1566C22⋊C4—121no—
1567C22⋊C4—121no—
1568C42—62no—
1569C42—121no—
1570C42—121no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
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×C3C23×D411yescharacteristic
1600C22×C3C2×H(5,𝔽2)11yescharacteristic
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×C3#58511yescharacteristic
1606C2×D3—22no—
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—416no—
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—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—88no—
1649C2×D3—88no—
1650C2×D3—88no—
1651C2×D3#56014yescomplemented
1652C3×C4—22no—
1653C3×C4—41no—
1654C3×C4—41no—
1655C3×C4—41no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660C3×C4—41no—
1661C3×C4—41no—
1662C3×C4—41no—
1663Dic3—22no—
1664Dic3—22no—
1665Dic3—22no—
1666Dic3—22no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672Dic3—41no—
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—32no—
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—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—61no—
1741C23—124no—
1742C23—124no—
1743C23—124no—
1744C23—124no—
1745C23—124no—
1746C23—124no—
1747C23—124no—
1748C23—124no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—124no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—242no—
1757C23—242no—
1758C23—242no—
1759C23—242no—
1760C23—242no—
1761C23—242no—
1762C23—242no—
1763C23—242no—
1764C23—242no—
1765C23—242no—
1766C23—242no—
1767C23—242no—
1768C23C2×D3×D412yes—
1769C23C2×D3×D412yes—
1770C23#100912yes—
1771C23C24×D311yescharacteristic
1772D4—44no—
1773D4—44no—
1774D4—44no—
1775D4—82no—
1776D4—82no—
1777D4—82no—
1778D4—124no—
1779D4—124no—
1780D4—124no—
1781D4—124no—
1782D4—124no—
1783D4—124no—
1784D4—124no—
1785D4—124no—
1786D4—124no—
1787D4—124no—
1788D4—124no—
1789D4—124no—
1790D4—124no—
1791D4—124no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795D4—242no—
1796D4—242no—
1797D4—242no—
1798D4—242no—
1799D4—242no—
1800D4—242no—
1801D4—242no—
1802D4—242no—
1803D4—242no—
1804D4—242no—
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—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—32no—
1838C2×C4—32no—
1839C2×C4—32no—
1840C2×C4—32no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—68no—
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—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—82no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—124no—
1874C2×C4—124no—
1875C2×C4—124no—
1876C2×C4—124no—
1877C2×C4—242no—
1878C2×C4—242no—
1879C2×C4C2×D3×D412yes—
1880C2×C3—42no—
1881C2×C3—42no—
1882C2×C3—42no—
1883C2×C3—81no—
1884C2×C3#348411yescharacteristic
1885C2×C3#348411yescharacteristic
1886C2×C3#348811yescharacteristic
1887C2×C3C2×#56011yescharacteristic
1888C2×C3#353411yescharacteristic
1889C2×C3#353711yescharacteristic
1890C2×C3#354211yescharacteristic
1891D3—24no—
1892D3—42no—
1893D3—81no—
1894D3—81no—
1895D3—81no—
1896D3—81no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—34no—
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—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—62no—
1927C22—62no—
1928C22—62no—
1929C22—62no—
1930C22—62no—
1931C22—62no—
1932C22—62no—
1933C22—62no—
1934C22—62no—
1935C22—1216no—
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—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—121no—
1967C22—121no—
1968C22—248no—
1969C22—248no—
1970C22—248no—
1971C22C22×D3×D411yescharacteristic
1972C22C2×#100911yescharacteristic
1973C22#596411yescharacteristic
1974C22D3×H(5,𝔽2)11yescharacteristic
1975C22D3×H(5,𝔽2)11yescharacteristic
1976C22D3×H(5,𝔽2)11yescharacteristic
1977C22D3×H(5,𝔽2)11yescharacteristic
1978C4—22no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—41no—
1986C4—41no—
1987C4—41no—
1988C4—41no—
1989C4—62no—
1990C4—62no—
1991C4—62no—
1992C4—62no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C4—121no—
1997C4—121no—
1998C4—121no—
1999C3#4544411yescharacteristic, complemented, Sylow
2000C2—42no—
2001C2—42no—
2002C2—42no—
2003C2—64no—
2004C2—81no—
2005C2—122no—
2006C2—241no—
2007C2—241no—
2008C2—241no—
2009C2—241no—
2010C2#8630811yescharacteristic
2011C2#8639611yescharacteristic
2012C2#8647411yescharacteristic
2013C2#8662911yescharacteristic
2014C2#8666211yescharacteristic
2015C2#8691511yescharacteristic
2016C2D3×#56011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2688C2
hypercenter#2688D3
hypocenterC3#45444
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. C2×#5620C2semidirect
2. C2×D3×#121C2semidirect
3. C3×#2688C2semidirect
4. #82713C2semidirect
5. #82702C2semidirect
6. #78401C2semidirect
7. #78144C2semidirect
8. #77729C2semidirect
9. #77690C2semidirect
10. #77673C2semidirect
11. #77482C2semidirect
12. #77133C2semidirect
13. #77114C2semidirect
14. #76764C2semidirect
15. #76713C2semidirect
16. #76673C2semidirect
17. #76669C2semidirect
18. #74935C2semidirect
19. #74922C2semidirect
20. #74888C2semidirect
21. #74887C2semidirect
22. #74884C2semidirect
23. #74884C2semidirect
24. #74883C2semidirect
25. #74814C2semidirect
26. #74800C2semidirect
27. #74792C2semidirect
28. #74656C2semidirect
29. #74530C2semidirect
30. #74126C2semidirect
31. #74097C2semidirect
35. C22×D3×D4C22semidirect
37. C23×C4×D3C22semidirect
39. C2×C3×#121C22semidirect
40. C2×#940C22semidirect
41. C2×#940C22semidirect
43. C2×#939C22semidirect
44. C2×#939C22semidirect
45. C2×#939C22semidirect
46. C2×#939C22semidirect
47. C2×#939C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
52. C2×#937C22semidirect
53. C2×#937C22semidirect
54. C2×#937C22semidirect
55. C2×#937C22semidirect
56. C2×#937C22semidirect
57. C2×#930C22semidirect
58. C2×#930C22semidirect
59. C2×#929C22semidirect
60. C22×(C2×D3)⋊C4C22semidirect
63. C2×#898C22semidirect
64. C2×#895C22semidirect
65. C2×#894C22semidirect
66. C2×#894C22semidirect
67. C2×D3×C4⋊C4C22semidirect
68. C2×#886C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
78. C2×#882C22semidirect
79. C2×#882C22semidirect
80. C2×#67⋊C4C22semidirect
82. C2×D3×C22⋊C4C22semidirect
83. C2×#879C22semidirect
84. C3×#400C22semidirect
85. C3×#397C22semidirect
86. C3×#397C22semidirect
87. C3×#394C22semidirect
88. C3×#392C22semidirect
89. C3×#392C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
92. C3×#386C22semidirect
93. C3×#386C22semidirect
94. C3×#386C22semidirect
95. C3×#385C22semidirect
96. C3×#381C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5222C22semidirect
100. #5220C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5213C22semidirect
106. #5210C22semidirect
107. #4993C22semidirect
108. #4992C22semidirect
109. #4991C22semidirect
110. #4990C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4988C22semidirect
114. #4961C22semidirect
115. #4960C22semidirect
116. #4960C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4958C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
141. #4955C22semidirect
142. #4955C22semidirect
143. #4952C22semidirect
144. #4946C22semidirect
145. #4946C22semidirect
146. #4946C22semidirect
147. #4945C22semidirect
148. #4944C22semidirect
149. #4942C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
152. #4676C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4675C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4672C22semidirect
162. #4671C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4671C22semidirect
167. #4671C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4667C22semidirect
173. #4667C22semidirect
174. #4667C22semidirect
175. #4666C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4664C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4652C22semidirect
201. #2688D3semidirect
322. #938D4semidirect
468. C2×#121C2×D3semidirect
487. #400C2×D3semidirect
495. #397C2×D3semidirect
496. #397C2×D3semidirect
512. #394C2×D3semidirect
532. #392C2×D3semidirect
533. #392C2×D3semidirect
567. #386C2×D3semidirect
568. #386C2×D3semidirect
569. #386C2×D3semidirect
570. #386C2×D3semidirect
571. #386C2×D3semidirect
579. #385C2×D3semidirect
582. #381C2×D3semidirect
715. C2×#67C2×D4semidirect
790. C2×C4×D3C2×D4semidirect
815. #217C2×D4semidirect
855. C4⋊Dic3C2×D4semidirect
1651. C2×D3#560semidirect
1999. C3#45444semidirect

Maximal subgroups

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

subgroupindex
C2×#56202
C2×D3×#1212
C3×#26882
#827132
#827022
#784012
#781442
#777292
#776902
#776732
#774822
#771332
#771142
#767642
#767132
#766732
#766692
#749352
#749222
#748882
#748872
#748842
#748832
#748142
#748002
#747922
#746562
#745302
#741262
#740972
#454443