Finite Group Databasebeta

← #11025282

Subgroups — #11025282

Order 768.

2868 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×D3×#123C211yesmaximal, characteristic, complemented
3C3×#2557C211yesmaximal, characteristic, complemented
4#82965C211yesmaximal, characteristic, complemented
5#82896C211yesmaximal, characteristic, complemented
6#77699C211yesmaximal, characteristic, complemented
7#77696C211yesmaximal, characteristic, complemented
8#77673C211yesmaximal, characteristic, complemented
9#77480C211yesmaximal, characteristic, complemented
10#76827C211yesmaximal, characteristic, complemented
11#76790C211yesmaximal, characteristic, complemented
12#76771C211yesmaximal, characteristic, complemented
13#76669C211yesmaximal, characteristic, complemented
14#76651C211yesmaximal, characteristic, complemented
15#76621C211yesmaximal, characteristic, complemented
16#76442C211yesmaximal, characteristic, complemented
17#76379C211yesmaximal, characteristic, complemented
18#75910C211yesmaximal, characteristic, complemented
19#75477C211yesmaximal, characteristic, complemented
20#75377C211yesmaximal, characteristic, complemented
21#75019C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic, complemented
23#74927C211yesmaximal, characteristic, complemented
24#74898C211yesmaximal, characteristic, complemented
25#74887C211yesmaximal, characteristic, complemented
26#74884C211yesmaximal, characteristic, complemented
27#74806C211yesmaximal, characteristic, complemented
28C22⋊C4×D12C211yesmaximal, characteristic, complemented
29#73571C211yesmaximal, characteristic, complemented
30C4×#882C211yesmaximal, characteristic, complemented
31#73535C211yesmaximal, characteristic, complemented
32#37713—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic, complemented
36C2×C3×#124C2211yescharacteristic, complemented
37C2×C3×#123C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic, complemented
40C2×#946C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×#935C2211yescharacteristic
49C2×#929C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic, complemented
51#5678—28no—
52D3×#123—28no—
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×D3×C4⋊C4C2211yescharacteristic, complemented
56C2×D3×C4⋊C4C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic, complemented
58C2×#886C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×#879C2211yescharacteristic, complemented
75C2×#876C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic, complemented
81C3×#393C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#391C2211yescharacteristic, complemented
84C3×#390C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92#5231C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic, complemented
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5212C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4961C2211yescharacteristic, complemented
109#4961C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic, complemented
114#4960C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4958C2211yescharacteristic, complemented
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic, complemented
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic, complemented
124#4956C2211yescharacteristic, complemented
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic, complemented
130#4955C2211yescharacteristic, complemented
131#4955C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4952C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4950C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4948C2211yescharacteristic, complemented
138#4946C2211yescharacteristic, complemented
139#4945C2211yescharacteristic, complemented
140#4944C2211yescharacteristic, complemented
141#4942C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145#4939C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×Dic3⋊C4C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4672C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#123—31no—
192#2847—31no—
193#2710—31no—
194#2708—31no—
195#2703—31no—
196#2697—31no—
197#2696—31no—
198#2695—31no—
199#2682—31no—
200#2678—31no—
201#2661—31no—
202#2630—31no—
203#2557D311yescharacteristic, complemented
204#2554—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2472—31no—
209#2456—31no—
210#2443—31no—
211#2424—31no—
212#2418—31no—
213#2417—31no—
214#2410—31no—
215#2408—31no—
216#2403—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×D4—24no—
242C2×D3×D4—42no—
243C2×D3×D4—42no—
244C22×D12—24no—
245C22×D12—42no—
246C22×D12—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×C4×D3—24no—
255C22×C4×D3—42no—
256C22×C4×D3—42no—
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C3×#124—24no—
267C3×#123—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#947—24no—
298#946—24no—
299#946—42no—
300#939—24no—
301#939—42no—
302#939—42no—
303#937—24no—
304#937—42no—
305#937—42no—
306#937—42no—
307#935—24no—
308#929—24no—
309C4×#67—42no—
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#894—24no—
373#894—24no—
374D3×C4⋊C4—24no—
375D3×C4⋊C4—24no—
376#886—24no—
377#886—24no—
378#884—24no—
379#884—24no—
380#884—24no—
381#884—42no—
382#883—24no—
383#883D418yescomplemented
384#882—24no—
385#882—24no—
386#882—42no—
387#67⋊C4—24no—
388#67⋊C4—42no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—24no—
393#879—24no—
394#876—24no—
395C4×D12—24no—
396C4×D12—42no—
397C4×D12—42no—
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428C24×C4—31no—
429#538—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#124—31no—
433C2×#124C2×D311yescharacteristic, complemented
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—68no—
443C2×#123C2×D311yescharacteristic
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#400—31no—
473#400—31no—
474#399—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic, complemented
484#397C2×D311yescharacteristic, complemented
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—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#393—31no—
502#393C2×D311yescharacteristic, complemented
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392C2×D311yescharacteristic
512#391C2×D311yescharacteristic, complemented
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic, complemented
521#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387—31no—
537#387C2×D311yescharacteristic, complemented
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386C2×D311yescharacteristic
556#386C2×D311yescharacteristic, complemented
557#386C2×D311yescharacteristic, complemented
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4C2×D311yescharacteristic, complemented
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×Q8—22no—
613C2×C3×Q8—41no—
614C2×C3×Q8—41no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
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×#67C2×D414yes—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686D3×D4—416no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—416no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12#4114yes—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—416no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3C2×D414yescomplemented
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4C2×D414yes—
753C3×C42—22no—
754C3×C42—41no—
755C3×C42—41no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217C2×D414yes—
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—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4C2×D414yescomplemented
803C4⋊Dic3—22no—
804C4⋊Dic3—22no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808C4⋊Dic3C2×D414yescomplemented
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4—41no—
823Dic3⋊C4C2×D414yescomplemented
824C4×Dic3—22no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3—41no—
828C25—31no—
829C25—31no—
830C25—31no—
831C22×Q8C22×D311yescharacteristic
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—64no—
849C22×D4—64no—
850C22×D4—122no—
851C22×D4—122no—
852C22×D4—122no—
853C22×D4—122no—
854C22×D4C22×D311yescharacteristic
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—64no—
869C23×C4—122no—
870C23×C4—122no—
871C23×C4C22×D311yescharacteristic
872C23×C4C22×D311yescharacteristic
873#126—64no—
874#126—64no—
875#124—24no—
876#124—64no—
877#123—24no—
878#123—38no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
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⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—64no—
930C2×C4⋊C4—64no—
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
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—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—64no—
982C2×C22⋊C4—64no—
983C2×C22⋊C4—64no—
984C2×C22⋊C4—64no—
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42C22×D311yescharacteristic
1003C2×C42C22×D311yescharacteristic
1004C2×C42C22×D311yescharacteristic
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#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
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×C3C22×D412yes—
1053C23×C3H(5,𝔽2)12yes—
1054C23×C3C2511yescharacteristic
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—28no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3C22×D412yes—
1107C22×D3C2×#4112yes—
1108C22×D3C2×#4112yes—
1109C22×D3H(5,𝔽2)12yes—
1110C22×D3H(5,𝔽2)12yes—
1111C3×Q8—82no—
1112C3×D4—44no—
1113C3×D4—82no—
1114C3×D4—82no—
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—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—44no—
1149C2×C3×C4—44no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C2×#4112yes—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—82no—
1159#67—82no—
1160#67—82no—
1161#67—82no—
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—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—44no—
1193C2×Dic3—82no—
1194C2×Dic3C22×D412yes—
1195C2×Dic3C22×D412yes—
1196C2×Dic3C22×D412yes—
1197D12—28no—
1198D12—44no—
1199D12—44no—
1200D12—44no—
1201D12—44no—
1202D12—44no—
1203D12—82no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—82no—
1212C4×D3—82no—
1213C24—31no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C2×Q8—22no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—34no—
1250C2×D4—34no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—1216no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—1216no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—34no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—1216no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—34no—
1370C4⋊C4—34no—
1371C4⋊C4—41no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4—121no—
1390C4⋊C4—121no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—34no—
1399C22⋊C4—34no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4D3×D414yes—
1451C42—22no—
1452C42—41no—
1453C42—41no—
1454C42—62no—
1455C42—121no—
1456C42—121no—
1457C42—121no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3C23×D411yescharacteristic
1480C22×C3C22×#4111yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×H(5,𝔽2)11yescharacteristic
1483C22×C3C2×H(5,𝔽2)11yescharacteristic
1484C22×C3#58511yescharacteristic
1485C22×C3#58511yescharacteristic
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—22no—
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—416no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—88no—
1522C2×D3—88no—
1523C2×D3#53814yescomplemented
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536Dic3—22no—
1537Dic3—22no—
1538Dic3—22no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—32no—
1567C23—32no—
1568C23—32no—
1569C23—32no—
1570C23—32no—
1571C23—68no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—124no—
1613C23—124no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23—242no—
1620C23—242no—
1621C23—242no—
1622C23C2×D3×D412yes—
1623C23#100912yes—
1624C23C24×D311yescharacteristic
1625Q8—82no—
1626D4—44no—
1627D4—68no—
1628D4—82no—
1629D4—82no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—32no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—242no—
1722C2×C4—242no—
1723C2×C4—242no—
1724C2×C4C2×D3×D412yes—
1725C2×C4C2×D3×D412yes—
1726C2×C4D3×#4112yes—
1727C2×C3—42no—
1728C2×C3—42no—
1729C2×C3—81no—
1730C2×C3C2×#53811yescharacteristic
1731C2×C3D4×#4111yescharacteristic
1732C2×C3#348411yescharacteristic
1733C2×C3#348811yescharacteristic
1734C2×C3#351311yescharacteristic
1735C2×C3#353311yescharacteristic
1736C2×C3#353411yescharacteristic
1737D3—24no—
1738D3—42no—
1739D3—42no—
1740D3—81no—
1741D3—81no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—34no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—62no—
1775C22—62no—
1776C22—1216no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—248no—
1800C22—248no—
1801C22C22×D3×D411yescharacteristic
1802C22C2×D3×#4111yescharacteristic
1803C22C2×#100911yescharacteristic
1804C22#596411yescharacteristic
1805C22#596411yescharacteristic
1806C22D3×H(5,𝔽2)11yescharacteristic
1807C22D3×H(5,𝔽2)11yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—62no—
1821C4—62no—
1822C4—62no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C3#3771311yescharacteristic, complemented, Sylow
1832C2—42no—
1833C2—42no—
1834C2—64no—
1835C2—81no—
1836C2—122no—
1837C2—122no—
1838C2—241no—
1839C2—241no—
1840C2#8616111yescharacteristic
1841C2#8623811yescharacteristic
1842C2D3×#53811yescharacteristic
1843C2#8662911yescharacteristic
1844C2#8666211yescharacteristic
1845C2#8680111yescharacteristic
1846C2#8706511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2557C2
hypercenter#2557D3
hypocenterC3#37713
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×D3×#123C2semidirect
3. C3×#2557C2semidirect
4. #82965C2semidirect
5. #82896C2semidirect
6. #77699C2semidirect
7. #77696C2semidirect
8. #77673C2semidirect
9. #77480C2semidirect
10. #76827C2semidirect
11. #76790C2semidirect
12. #76771C2semidirect
13. #76669C2semidirect
14. #76651C2semidirect
15. #76621C2semidirect
16. #76442C2semidirect
17. #76379C2semidirect
18. #75910C2semidirect
19. #75477C2semidirect
20. #75377C2semidirect
21. #75019C2semidirect
22. #74935C2semidirect
23. #74927C2semidirect
24. #74898C2semidirect
25. #74887C2semidirect
26. #74884C2semidirect
27. #74806C2semidirect
28. C22⋊C4×D12C2semidirect
29. #73571C2semidirect
30. C4×#882C2semidirect
31. #73535C2semidirect
35. C23×C4×D3C22semidirect
36. C2×C3×#124C22semidirect
38. C2×#947C22semidirect
39. C2×#946C22semidirect
40. C2×#946C22semidirect
42. C2×#939C22semidirect
43. C2×#939C22semidirect
46. C2×#937C22semidirect
47. C2×#937C22semidirect
49. C2×#929C22semidirect
50. C2×C4×#67C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
55. C2×D3×C4⋊C4C22semidirect
56. C2×D3×C4⋊C4C22semidirect
57. C2×#886C22semidirect
58. C2×#886C22semidirect
61. C2×#884C22semidirect
62. C2×#884C22semidirect
68. C2×#67⋊C4C22semidirect
69. C2×#67⋊C4C22semidirect
72. C2×D3×C22⋊C4C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×#879C22semidirect
75. C2×#876C22semidirect
78. C2×C4×D12C22semidirect
79. C3×#397C22semidirect
80. C3×#397C22semidirect
81. C3×#393C22semidirect
83. C3×#391C22semidirect
84. C3×#390C22semidirect
85. C3×#388C22semidirect
86. C3×#387C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. C3×C4×C22⋊C4C22semidirect
92. #5231C22semidirect
93. #5223C22semidirect
95. #5222C22semidirect
97. #5213C22semidirect
98. #5212C22semidirect
99. #5210C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4987C22semidirect
108. #4961C22semidirect
109. #4961C22semidirect
110. #4961C22semidirect
113. #4960C22semidirect
114. #4960C22semidirect
115. #4960C22semidirect
116. #4959C22semidirect
117. #4958C22semidirect
119. #4957C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
122. #4957C22semidirect
123. #4956C22semidirect
124. #4956C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
129. #4955C22semidirect
130. #4955C22semidirect
131. #4955C22semidirect
132. #4952C22semidirect
133. #4952C22semidirect
134. #4951C22semidirect
135. #4950C22semidirect
136. #4950C22semidirect
137. #4948C22semidirect
138. #4946C22semidirect
139. #4945C22semidirect
140. #4944C22semidirect
141. #4942C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. #4939C22semidirect
145. #4939C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×Dic3⋊C4C22semidirect
149. #4928C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4672C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4667C22semidirect
171. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4657C22semidirect
185. #4657C22semidirect
186. #4657C22semidirect
187. #4654C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
203. #2557D3semidirect
383. #883D4semidirect
433. C2×#124C2×D3semidirect
483. #397C2×D3semidirect
484. #397C2×D3semidirect
502. #393C2×D3semidirect
512. #391C2×D3semidirect
520. #390C2×D3semidirect
534. #388C2×D3semidirect
537. #387C2×D3semidirect
556. #386C2×D3semidirect
557. #386C2×D3semidirect
581. C4×C22⋊C4C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
736. C2×C4×D3C2×D4semidirect
802. (C2×D3)⋊C4C2×D4semidirect
808. C4⋊Dic3C2×D4semidirect
823. Dic3⋊C4C2×D4semidirect
1523. C2×D3#538semidirect
1831. C3#37713semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×D3×#1232
C3×#25572
#829652
#828962
#776992
#776962
#776732
#774802
#768272
#767902
#767712
#766692
#766512
#766212
#764422
#763792
#759102
#754772
#753772
#750192
#749352
#749272
#748982
#748872
#748842
#748062
C22⋊C4×D122
#735712
C4×#8822
#735352
#377133