Finite Group Databasebeta

← #11013455

Subgroups — #11013455

Order 768.

2456 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5617C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2678C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82870C211yesmaximal, characteristic, complemented
6#82686C211yesmaximal, characteristic, complemented
7#82597C211yesmaximal, characteristic, complemented
8#82594C211yesmaximal, characteristic, complemented
9#82591C211yesmaximal, characteristic, complemented
10#77567C211yesmaximal, characteristic, complemented
11#77535C211yesmaximal, characteristic, complemented
12#77368C211yesmaximal, characteristic, complemented
13#77344C211yesmaximal, characteristic, complemented
14#77007C211yesmaximal, characteristic, complemented
15#77000C211yesmaximal, characteristic, complemented
16#76996C211yesmaximal, characteristic, complemented
17#76896C211yesmaximal, characteristic, complemented
18#76766C211yesmaximal, characteristic, complemented
19#76765C211yesmaximal, characteristic, complemented
20#76694C211yesmaximal, characteristic, complemented
21#76670C211yesmaximal, characteristic, complemented
22#76463C211yesmaximal, characteristic, complemented
23#76424C211yesmaximal, characteristic, complemented
24#76388C211yesmaximal, characteristic, complemented
25#76289C211yesmaximal, characteristic, complemented
26#75820C211yesmaximal, characteristic, complemented
27#75686C211yesmaximal, characteristic, complemented
28#74914C211yesmaximal, characteristic, complemented
29#74889C211yesmaximal, characteristic, complemented
30#73837C211yesmaximal, characteristic, complemented
31#73825C211yesmaximal, characteristic, complemented
32#37132—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic, complemented
37C2×#953C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#953C2211yescharacteristic, complemented
40C22×#217C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#938C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic, complemented
52C2×#936C2211yescharacteristic
53C2×#935C2211yescharacteristic
54C2×#935C2211yescharacteristic, complemented
55C2×D4×Dic3C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic, complemented
57C2×#929C2211yescharacteristic, complemented
58C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
59C2×#924C2211yescharacteristic, complemented
60#5617—28no—
61#5593—28no—
62C2×#898C2211yescharacteristic, complemented
63C2×#898C2211yescharacteristic, complemented
64C2×#888C2211yescharacteristic, complemented
65C2×#886C2211yescharacteristic
66C2×#886C2211yescharacteristic
67C2×#886C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic
69C2×#885C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#885C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×#879C2211yescharacteristic, complemented
78C2×#879C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80C2×#877C2211yescharacteristic, complemented
81C2×#877C2211yescharacteristic, complemented
82C3×#397C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic
87C3×#392C2211yescharacteristic
88C3×#390C2211yescharacteristic
89C3×#390C2211yescharacteristic, complemented
90C3×#388C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic
92C3×#379C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5222C2211yescharacteristic
99#5222C2211yescharacteristic
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic
102#5221C2211yescharacteristic, complemented
103#5221C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5210C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4993C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4988C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4980C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117Dic3×C4⋊C4C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4953C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4949C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4942C2211yescharacteristic, complemented
168Dic3×C22⋊C4C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4939C2211yescharacteristic, complemented
172C42×Dic3C2211yescharacteristic, complemented
173#4928C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4676C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4667C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2860—31no—
193#2858—31no—
194#2727—31no—
195#2705—31no—
196#2705—31no—
197#2682—31no—
198#2682—31no—
199#2679—31no—
200#2678—31no—
201#2678D311yescharacteristic, complemented
202#2674—31no—
203#2674—31no—
204#2672—31no—
205#2672—31no—
206#2670—31no—
207#2670—31no—
208#2669—31no—
209#2669—31no—
210#2662—31no—
211#2662—31no—
212#2602—31no—
213#2602—31no—
214#2539—31no—
215#2539—31no—
216#2414—31no—
217#2414—31no—
218#2411—31no—
219#2411—31no—
220#2293—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—42no—
254C3×#121—24no—
255C3×#120—24no—
256C3×#120—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279#953—24no—
280#953—42no—
281#953—42no—
282C2×#217—24no—
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#940—42no—
306#939—24no—
307#939—24no—
308#939—24no—
309#939—24no—
310#939—42no—
311#938—24no—
312#937—24no—
313#937—24no—
314#937—42no—
315#937—42no—
316#936—24no—
317#935—24no—
318#935—42no—
319D4×Dic3—24no—
320D4×Dic3D418yescomplemented
321#929—42no—
322C2×(C2×D3)⋊C4—24no—
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355#924—24no—
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#898—24no—
384#898—24no—
385#888—42no—
386#886—24no—
387#886—24no—
388#886—42no—
389#885—24no—
390#885—24no—
391#885—24no—
392#885—42no—
393#885—42no—
394#884—42no—
395#883—24no—
396#882—42no—
397#67⋊C4—24no—
398#879—24no—
399#879—24no—
400#878—24no—
401#877—42no—
402#877—42no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423#538—68no—
424#538—68no—
425C2×C4⋊Q8—31no—
426C2×#127—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#126—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123C2×D311yescharacteristic
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120C2×D311yescharacteristic
464C2×#120C2×D311yescharacteristic, complemented
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×#117—31no—
469C2×#117—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#397—31no—
477#397C2×D311yescharacteristic, complemented
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396C2×D311yescharacteristic, complemented
486#395—31no—
487#395—31no—
488#394—31no—
489#394—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#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392C2×D311yescharacteristic
519#392C2×D311yescharacteristic
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390C2×D311yescharacteristic
538#390C2×D311yescharacteristic, complemented
539#389—31no—
540#389—31no—
541#389—31no—
542#389—31no—
543#389—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388C2×D311yescharacteristic, complemented
562#387—31no—
563#387—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386C2×D311yescharacteristic
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#380—31no—
574#379—31no—
575#379C2×D311yescharacteristic, complemented
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C43—31no—
580C24×C3—22no—
581C24×C3—41no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3—22no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4C2×D414yes—
623C22×C3×C4—22no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3C2×D414yes—
686C22×Dic3C2×D414yes—
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C2×D12—22no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×C4×D3—22no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—41no—
712C2×Dic6—41no—
713C2×Dic6—41no—
714C2×Dic6—41no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C42—41no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217C2×D414yes—
758#217C2×D414yes—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3C2×D414yes—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808C4×Dic3—22no—
809C4×Dic3—22no—
810C4×Dic3—22no—
811C4×Dic3—22no—
812C4×Dic3—22no—
813C4×Dic3—41no—
814C4×Dic3—41no—
815C4×Dic3—41no—
816C4×Dic3—41no—
817C4×Dic3C2×D414yes—
818C25—31no—
819C25C22×D311yescharacteristic
820C22×Q8—31no—
821C22×Q8—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4C22×D311yescharacteristic
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C22×D4C22×D311yescharacteristic
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4C22×D311yescharacteristic
850C4⋊Q8—122no—
851#127—122no—
852#126—64no—
853#126—64no—
854#126—64no—
855#126—64no—
856#124—64no—
857#124—64no—
858#124—64no—
859#124—64no—
860#124—122no—
861#124—122no—
862#123—42no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—122no—
868#123—122no—
869#123—122no—
870C22⋊Q8—64no—
871C22⋊Q8—64no—
872#121—24no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—122no—
879#121—122no—
880#120—24no—
881#120—42no—
882#120—64no—
883#120—64no—
884#120—64no—
885#120—122no—
886#120—122no—
887#120—122no—
888#120—122no—
889#120—122no—
890C4×D4—38no—
891C4×D4—64no—
892C4×D4—64no—
893#117—122no—
894#117—122no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—64no—
971C2×C22⋊C4—64no—
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42C22×D311yescharacteristic
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—44no—
1054C23×C3—82no—
1055C23×C3—82no—
1056C23×C3—82no—
1057C23×C3—82no—
1058C23×C3—82no—
1059C23×C3—82no—
1060C23×C3C22×D412yes—
1061C23×C3C22×D412yes—
1062C23×C3C2511yescharacteristic
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—44no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C3×D4—44no—
1092C3×D4—44no—
1093C3×D4—82no—
1094C3×D4—82no—
1095C3×D4—82no—
1096C3×D4—82no—
1097C3×D4—82no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—82no—
1127C2×C3×C4C22×D412yes—
1128C2×C3×C4H(5,𝔽2)12yes—
1129#67—44no—
1130#67—82no—
1131#67—82no—
1132#67—82no—
1133#67—82no—
1134#67—82no—
1135#67—82no—
1136#67—82no—
1137#67—82no—
1138#67—82no—
1139#67—82no—
1140#67—82no—
1141#67—82no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—44no—
1176C2×Dic3—44no—
1177C2×Dic3—82no—
1178C2×Dic3—82no—
1179C2×Dic3C22×D412yes—
1180C2×Dic3C22×D412yes—
1181C2×Dic3C22×D412yes—
1182C2×Dic3C22×D412yes—
1183C2×Dic3H(5,𝔽2)12yes—
1184C2×Dic3H(5,𝔽2)12yes—
1185D12—82no—
1186D12—82no—
1187C4×D3—82no—
1188Dic6—82no—
1189Dic6—82no—
1190C24—22no—
1191C24—31no—
1192C24—31no—
1193C24—31no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—62no—
1201C24—121no—
1202C24—121no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24C23×D311yescharacteristic
1208C24C23×D311yescharacteristic
1209C24C23×D311yescharacteristic
1210C24C23×D311yescharacteristic
1211C24C23×D311yescharacteristic
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—121no—
1215C2×Q8—121no—
1216C2×Q8—121no—
1217C2×Q8—121no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4D3×D414yes—
1284C22×C4—22no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—34no—
1292C22×C4—34no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—34no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C4⋊C4—121no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—34no—
1362C22⋊C4—34no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C42—34no—
1418C42—41no—
1419C42—62no—
1420C42—62no—
1421C42—62no—
1422C42—62no—
1423C42—62no—
1424C42—121no—
1425C42—121no—
1426C42—121no—
1427C42—121no—
1428C22×C3—22no—
1429C22×C3—22no—
1430C22×C3—22no—
1431C22×C3—22no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—88no—
1464C22×C3C23×D411yescharacteristic
1465C22×C3C2×H(5,𝔽2)11yescharacteristic
1466C22×C3C2×H(5,𝔽2)11yescharacteristic
1467C22×C3C2×H(5,𝔽2)11yescharacteristic
1468C22×C3#58511yescharacteristic
1469C22×C3#58511yescharacteristic
1470C22×C3#58511yescharacteristic
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—88no—
1493C3×C4—22no—
1494C3×C4—22no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503Dic3—22no—
1504Dic3—22no—
1505Dic3—22no—
1506Dic3—22no—
1507Dic3—22no—
1508Dic3—22no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—44no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—82no—
1572C23—82no—
1573C23—82no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—124no—
1578C23—242no—
1579C23—242no—
1580C23—242no—
1581C23—242no—
1582C23—242no—
1583C23—242no—
1584C23C2×D3×D412yes—
1585C23C2×D3×D412yes—
1586C23C24×D311yescharacteristic
1587Q8—242no—
1588Q8—242no—
1589D4—44no—
1590D4—44no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—124no—
1597D4—242no—
1598D4—242no—
1599D4—242no—
1600D4—242no—
1601D4—242no—
1602D4—242no—
1603D4—242no—
1604D4—242no—
1605D4—242no—
1606D4—242no—
1607D4—242no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—32no—
1640C2×C4—32no—
1641C2×C4—32no—
1642C2×C4—32no—
1643C2×C4—32no—
1644C2×C4—32no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—82no—
1679C2×C4—124no—
1680C2×C4—124no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4C2×D3×D412yes—
1685C2×C4#100412yes—
1686C2×C3—42no—
1687C2×C3—42no—
1688C2×C3—81no—
1689C2×C3—81no—
1690C2×C3—81no—
1691C2×C3#344911yescharacteristic
1692C2×C3#349611yescharacteristic
1693C2×C3#349811yescharacteristic
1694C2×C3#354511yescharacteristic
1695C2×C3#354611yescharacteristic
1696C2×C3#355811yescharacteristic
1697C2×C3#356011yescharacteristic
1698D3—81no—
1699D3—81no—
1700D3—81no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—88no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—248no—
1759C22C22×D3×D411yescharacteristic
1760C22C2×#100411yescharacteristic
1761C22#596411yescharacteristic
1762C22D3×H(5,𝔽2)11yescharacteristic
1763C22D3×H(5,𝔽2)11yescharacteristic
1764C22#596611yescharacteristic
1765C22#596611yescharacteristic
1766C4—22no—
1767C4—22no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—62no—
1777C4—62no—
1778C4—62no—
1779C4—62no—
1780C4—62no—
1781C4—62no—
1782C4—121no—
1783C4—121no—
1784C4—121no—
1785C4—121no—
1786C4—121no—
1787C4—121no—
1788C4—121no—
1789C3#3713211yescharacteristic, complemented, Sylow
1790C2—42no—
1791C2—42no—
1792C2—81no—
1793C2—81no—
1794C2—81no—
1795C2—241no—
1796C2—241no—
1797C2—241no—
1798C2#8629411yescharacteristic
1799C2#8633711yescharacteristic
1800C2#8642511yescharacteristic
1801C2#8660811yescharacteristic
1802C2#8665211yescharacteristic
1803C2#8666511yescharacteristic
1804C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2678C2
hypercenter#2678D3
hypocenterC3#37132
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#5617C2semidirect
2. C2×#5593C2semidirect
3. C3×#2678C2semidirect
4. #82901C2semidirect
5. #82870C2semidirect
6. #82686C2semidirect
7. #82597C2semidirect
8. #82594C2semidirect
9. #82591C2semidirect
10. #77567C2semidirect
11. #77535C2semidirect
12. #77368C2semidirect
13. #77344C2semidirect
14. #77007C2semidirect
15. #77000C2semidirect
16. #76996C2semidirect
17. #76896C2semidirect
18. #76766C2semidirect
19. #76765C2semidirect
20. #76694C2semidirect
21. #76670C2semidirect
22. #76463C2semidirect
23. #76424C2semidirect
24. #76388C2semidirect
25. #76289C2semidirect
26. #75820C2semidirect
27. #75686C2semidirect
28. #74914C2semidirect
29. #74889C2semidirect
30. #73837C2semidirect
31. #73825C2semidirect
36. C2×C3×#120C22semidirect
39. C2×#953C22semidirect
40. C22×#217C22semidirect
46. C2×#939C22semidirect
51. C2×#937C22semidirect
54. C2×#935C22semidirect
56. C2×D4×Dic3C22semidirect
57. C2×#929C22semidirect
58. C22×(C2×D3)⋊C4C22semidirect
59. C2×#924C22semidirect
62. C2×#898C22semidirect
63. C2×#898C22semidirect
64. C2×#888C22semidirect
67. C2×#886C22semidirect
69. C2×#885C22semidirect
70. C2×#885C22semidirect
71. C2×#885C22semidirect
72. C2×#885C22semidirect
73. C2×#884C22semidirect
74. C2×#883C22semidirect
75. C2×#882C22semidirect
76. C2×#67⋊C4C22semidirect
77. C2×#879C22semidirect
78. C2×#879C22semidirect
79. C2×#878C22semidirect
80. C2×#877C22semidirect
81. C2×#877C22semidirect
82. C3×#397C22semidirect
83. C3×#396C22semidirect
84. C3×#394C22semidirect
85. C3×#394C22semidirect
89. C3×#390C22semidirect
90. C3×#388C22semidirect
92. C3×#379C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
100. #5222C22semidirect
102. #5221C22semidirect
103. #5221C22semidirect
104. #5220C22semidirect
105. #5210C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4993C22semidirect
109. #4993C22semidirect
110. #4991C22semidirect
111. #4988C22semidirect
112. #4988C22semidirect
113. #4980C22semidirect
114. #4979C22semidirect
115. #4976C22semidirect
116. #4976C22semidirect
117. Dic3×C4⋊C4C22semidirect
118. #4972C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4955C22semidirect
149. #4953C22semidirect
150. #4951C22semidirect
151. #4951C22semidirect
152. #4949C22semidirect
153. #4949C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
157. #4947C22semidirect
158. #4946C22semidirect
159. #4946C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
167. #4942C22semidirect
168. Dic3×C22⋊C4C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. #4940C22semidirect
171. #4939C22semidirect
172. C42×Dic3C22semidirect
173. #4928C22semidirect
174. #4676C22semidirect
175. #4676C22semidirect
176. #4673C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4669C22semidirect
180. #4669C22semidirect
181. #4669C22semidirect
182. #4668C22semidirect
183. #4667C22semidirect
184. #4665C22semidirect
185. #4656C22semidirect
186. #4654C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
201. #2678D3semidirect
320. D4×Dic3D4semidirect
464. C2×#120C2×D3semidirect
477. #397C2×D3semidirect
485. #396C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
538. #390C2×D3semidirect
561. #388C2×D3semidirect
575. #379C2×D3semidirect
1789. C3#37132semidirect

Maximal subgroups

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

subgroupindex
C2×#56172
C2×#55932
C3×#26782
#829012
#828702
#826862
#825972
#825942
#825912
#775672
#775352
#773682
#773442
#770072
#770002
#769962
#768962
#767662
#767652
#766942
#766702
#764632
#764242
#763882
#762892
#758202
#756862
#749142
#748892
#738372
#738252
#371323