Finite Group Databasebeta

← #11025537

Subgroups — #11025537

Order 768.

3060 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#121C211yesmaximal, characteristic, complemented
2C2×#5562C211yesmaximal, characteristic, complemented
3C3×#2464C211yesmaximal, characteristic, complemented
4#82905C211yesmaximal, characteristic, complemented
5#82893C211yesmaximal, characteristic, complemented
6#82683C211yesmaximal, characteristic, complemented
7#82659C211yesmaximal, characteristic, complemented
8#82640C211yesmaximal, characteristic, complemented
9#82398C211yesmaximal, characteristic, complemented
10#77978C211yesmaximal, characteristic, complemented
11#77758C211yesmaximal, characteristic, complemented
12#77108C211yesmaximal, characteristic, complemented
13#77032C211yesmaximal, characteristic, complemented
14#76773C211yesmaximal, characteristic, complemented
15#76769C211yesmaximal, characteristic, complemented
16#76755C211yesmaximal, characteristic, complemented
17#76673C211yesmaximal, characteristic, complemented
18#76460C211yesmaximal, characteristic, complemented
19#76442C211yesmaximal, characteristic, complemented
20#75902C211yesmaximal, characteristic, complemented
21#75844C211yesmaximal, characteristic, complemented
22#75832C211yesmaximal, characteristic, complemented
23#75830C211yesmaximal, characteristic, complemented
24#74936C211yesmaximal, characteristic, complemented
25#74925C211yesmaximal, characteristic, complemented
26#74888C211yesmaximal, characteristic, complemented
27#74698C211yesmaximal, characteristic, complemented
28#74628C211yesmaximal, characteristic, complemented
29#74608C211yesmaximal, characteristic, complemented
30#73595C211yesmaximal, characteristic, complemented
31C4×#882C211yesmaximal, characteristic, complemented
32#37722—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic, complemented
42C2×#940C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic, complemented
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic, complemented
53C2×#930C2211yescharacteristic, complemented
54C2×#929C2211yescharacteristic, complemented
55C2×#929C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic, complemented
58C22×(C2×D3)⋊C4C2211yescharacteristic
59D3×#121—28no—
60#5562—28no—
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic, complemented
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×#890C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×C4×D12C2211yescharacteristic
81C2×C4×D12C2211yescharacteristic, complemented
82C2×#872C2211yescharacteristic, complemented
83C3×#398C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#390C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#388C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×#385C2211yescharacteristic, complemented
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107#5210C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4989C2211yescharacteristic
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic
118#4988C2211yescharacteristic, complemented
119#4987C2211yescharacteristic
120#4987C2211yescharacteristic, complemented
121#4982C2211yescharacteristic, complemented
122#4981C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4958C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4955C2211yescharacteristic
151#4955C2211yescharacteristic
152#4953C2211yescharacteristic, complemented
153#4952C2211yescharacteristic, complemented
154#4951C2211yescharacteristic, complemented
155#4950C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4940C2211yescharacteristic, complemented
163#4940C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic
165C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4671C2211yescharacteristic, complemented
169#4671C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4660C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#121—31no—
192#2849—31no—
193#2711—31no—
194#2701—31no—
195#2699—31no—
196#2688—31no—
197#2673—31no—
198#2673—31no—
199#2671—31no—
200#2671—31no—
201#2661—31no—
202#2635—31no—
203#2476—31no—
204#2473—31no—
205#2464—31no—
206#2464D311yescharacteristic, complemented
207#2443—31no—
208#2433—31no—
209#2428—31no—
210#2424—31no—
211#2418—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2408—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2333—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
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
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—42no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C2×D3×D4—42no—
257C2×D3×D4—42no—
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×C4×D3—24no—
266C22×C4×D3—42no—
267C22×C4×D3—42no—
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C3×#123—42no—
278C3×#121—24no—
279C3×#121—42no—
280C3×C4×D4—24no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊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×C42C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314#940—24no—
315#940—42no—
316#939—24no—
317#939—24no—
318#939—42no—
319#938—24no—
320#938—24no—
321#937—24no—
322#937—42no—
323#937—42no—
324#930—24no—
325#930—24no—
326#930—24no—
327#929—24no—
328#929—24no—
329C4×#67—42no—
330C4×#67—42no—
331C2×(C2×D3)⋊C4—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384#895—24no—
385#895—24no—
386D3×C4⋊C4—24no—
387#890—24no—
388#884—24no—
389#884—24no—
390#884—42no—
391#884—42no—
392#884—42no—
393#884D418yescomplemented
394#883—24no—
395#883—24no—
396#883—42no—
397#882—24no—
398#882—42no—
399#882—42no—
400D3×C22⋊C4—24no—
401D3×C22⋊C4—24no—
402D3×C22⋊C4—24no—
403C4×D12—24no—
404C4×D12—42no—
405#872—24no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C24×C4—31no—
436#540—68no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#125—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123C2×D311yescharacteristic, complemented
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—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—68no—
463C2×#121C2×D311yescharacteristic
464C2×#121C2×D311yescharacteristic, complemented
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4C2×D311yescharacteristic, complemented
476C2×#117—31no—
477C22×C4⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482#400—31no—
483#399—31no—
484#399—31no—
485#398—31no—
486#398—31no—
487#398—31no—
488#398C2×D311yescharacteristic, complemented
489#397—31no—
490#397—31no—
491#396—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394C2×D311yescharacteristic, complemented
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#392—31no—
519#392—31no—
520#392C2×D311yescharacteristic, complemented
521#392C2×D311yescharacteristic, complemented
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390C2×D311yescharacteristic, complemented
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388C2×D311yescharacteristic, complemented
538#388C2×D311yescharacteristic, complemented
539#387—31no—
540#387—31no—
541#387—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#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#381—31no—
575#381—31no—
576#381—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4C2×D311yescharacteristic, complemented
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
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—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
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×#67C2×D414yes—
698C2×#67C2×D414yes—
699C22×Dic3—22no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716D3×D4—416no—
717D3×D4—416no—
718D3×D4—416no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12C2×D414yes—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—416no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3C2×D414yes—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—41no—
771C3×C4⋊C4—41no—
772C3×C4⋊C4—41no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4C2×D414yes—
786C3×C42—22no—
787C3×C42—41no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217—41no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4C2×D414yes—
832(C2×D3)⋊C4#4114yes—
833C4⋊Dic3—22no—
834C4⋊Dic3—22no—
835C4⋊Dic3—22no—
836C4⋊Dic3—22no—
837C4⋊Dic3—41no—
838C4⋊Dic3—41no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4C2×D414yes—
849C4×Dic3—22no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C25—31no—
854C25—31no—
855C25—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—64no—
878C22×D4—64no—
879C22×D4—64no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4—122no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4C22×D311yescharacteristic
887C22×D4C22×D311yescharacteristic
888C22×D4C22×D311yescharacteristic
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—64no—
904C23×C4—122no—
905C23×C4—122no—
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909#127—64no—
910#127—122no—
911#125—64no—
912#123—42no—
913#123—64no—
914#123—64no—
915#123—64no—
916#123—64no—
917#123—122no—
918#121—24no—
919#121—38no—
920#121—42no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—122no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—64no—
937#120—64no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—24no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947#117—64no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—64no—
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
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—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42C22×D311yescharacteristic
1037C2×C42C22×D311yescharacteristic
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3C22×D412yes—
1091C23×C3H(5,𝔽2)12yes—
1092C23×C3C2511yescharacteristic
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—28no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3C22×D412yes—
1145C22×D3C22×D412yes—
1146C22×D3C2×#4112yes—
1147C22×D3H(5,𝔽2)12yes—
1148C22×D3H(5,𝔽2)12yes—
1149C3×D4—44no—
1150C3×D4—44no—
1151C3×D4—44no—
1152C3×D4—44no—
1153C3×D4—82no—
1154C3×D4—82no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—44no—
1185C2×C3×C4—82no—
1186C2×C3×C4—82no—
1187C2×C3×C4C22×D412yes—
1188C2×C3×C4C22×D412yes—
1189C2×C3×C4C2×#4112yes—
1190C2×C3×C4H(5,𝔽2)12yes—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—44no—
1199#67—82no—
1200#67—82no—
1201#67—82no—
1202#67—82no—
1203#67—82no—
1204#67—82no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—44no—
1236C2×Dic3—82no—
1237C2×Dic3C22×D412yes—
1238C2×Dic3C22×D412yes—
1239C2×Dic3C2×#4112yes—
1240D12—44no—
1241D12—44no—
1242D12—44no—
1243D12—44no—
1244D12—44no—
1245D12—82no—
1246D12—82no—
1247C4×D3—28no—
1248C4×D3—44no—
1249C4×D3—44no—
1250C4×D3—44no—
1251C4×D3—44no—
1252C4×D3—44no—
1253C4×D3—44no—
1254C4×D3—82no—
1255C4×D3—82no—
1256C24—31no—
1257C24—31no—
1258C24—31no—
1259C24—31no—
1260C24—31no—
1261C24—62no—
1262C24—62no—
1263C24—62no—
1264C24—62no—
1265C24—62no—
1266C24—62no—
1267C24—62no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284C24C23×D311yescharacteristic
1285C24C23×D311yescharacteristic
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—34no—
1296C2×D4—34no—
1297C2×D4—34no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—1216no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—1216no—
1369C2×D4—1216no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—34no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
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—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
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—
1417C22×C4—121no—
1418C22×C4—1216no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4C23×D311yescharacteristic
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—34no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—62no—
1442C4⋊C4—62no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—34no—
1464C22⋊C4—34no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4D3×D414yes—
1514C42—22no—
1515C42—41no—
1516C42—62no—
1517C42—121no—
1518C42—121no—
1519C42—121no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—22no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3C23×D411yescharacteristic
1549C22×C3C22×#4111yescharacteristic
1550C22×C3C2×H(5,𝔽2)11yescharacteristic
1551C22×C3C2×H(5,𝔽2)11yescharacteristic
1552C22×C3C2×H(5,𝔽2)11yescharacteristic
1553C22×C3C2×H(5,𝔽2)11yescharacteristic
1554C22×C3#58511yescharacteristic
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—416no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—88no—
1591C2×D3—88no—
1592C2×D3#54014yescomplemented
1593C3×C4—22no—
1594C3×C4—22no—
1595C3×C4—22no—
1596C3×C4—22no—
1597C3×C4—41no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604Dic3—22no—
1605Dic3—22no—
1606Dic3—22no—
1607Dic3—41no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—32no—
1642C23—32no—
1643C23—32no—
1644C23—32no—
1645C23—32no—
1646C23—68no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—124no—
1678C23—124no—
1679C23—124no—
1680C23—124no—
1681C23—124no—
1682C23—124no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23—242no—
1696C23—242no—
1697C23C2×D3×D412yes—
1698C23#100412yes—
1699C23C24×D311yescharacteristic
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—44no—
1704D4—82no—
1705D4—82no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—124no—
1716D4—124no—
1717D4—124no—
1718D4—124no—
1719D4—242no—
1720D4—242no—
1721D4—242no—
1722D4—242no—
1723D4—242no—
1724D4—242no—
1725D4—242no—
1726D4—242no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—32no—
1757C2×C4—32no—
1758C2×C4—32no—
1759C2×C4—44no—
1760C2×C4—68no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—82no—
1792C2×C4—82no—
1793C2×C4—124no—
1794C2×C4—124no—
1795C2×C4—124no—
1796C2×C4—124no—
1797C2×C4—124no—
1798C2×C4—124no—
1799C2×C4—124no—
1800C2×C4—242no—
1801C2×C4—242no—
1802C2×C4—242no—
1803C2×C4C2×D3×D412yes—
1804C2×C4C2×D3×D412yes—
1805C2×C4D3×#4112yes—
1806C2×C4#100912yes—
1807C2×C3—42no—
1808C2×C3—42no—
1809C2×C3—81no—
1810C2×C3—81no—
1811C2×C3C2×#54011yescharacteristic
1812C2×C3D4×#4111yescharacteristic
1813C2×C3#348411yescharacteristic
1814C2×C3#348411yescharacteristic
1815C2×C3#351911yescharacteristic
1816C2×C3#353411yescharacteristic
1817C2×C3#354211yescharacteristic
1818D3—24no—
1819D3—42no—
1820D3—42no—
1821D3—81no—
1822D3—81no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—34no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
1857C22—62no—
1858C22—62no—
1859C22—62no—
1860C22—62no—
1861C22—62no—
1862C22—62no—
1863C22—62no—
1864C22—1216no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—248no—
1888C22—248no—
1889C22C22×D3×D411yescharacteristic
1890C22C2×#100411yescharacteristic
1891C22C2×D3×#4111yescharacteristic
1892C22C2×#100911yescharacteristic
1893C22#596411yescharacteristic
1894C22D3×H(5,𝔽2)11yescharacteristic
1895C22D3×H(5,𝔽2)11yescharacteristic
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—62no—
1908C4—62no—
1909C4—62no—
1910C4—121no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C4—121no—
1915C4—121no—
1916C4—121no—
1917C4—121no—
1918C3#3772211yescharacteristic, complemented, Sylow
1919C2—42no—
1920C2—42no—
1921C2—64no—
1922C2—81no—
1923C2—81no—
1924C2—122no—
1925C2—122no—
1926C2—241no—
1927C2—241no—
1928C2#8603711yescharacteristic
1929C2#8624711yescharacteristic
1930C2D3×#54011yescharacteristic
1931C2#8662011yescharacteristic
1932C2#8666211yescharacteristic
1933C2#8666911yescharacteristic
1934C2#8689511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2464C2
hypercenter#2464D3
hypocenterC3#37722
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×D3×#121C2semidirect
2. C2×#5562C2semidirect
3. C3×#2464C2semidirect
4. #82905C2semidirect
5. #82893C2semidirect
6. #82683C2semidirect
7. #82659C2semidirect
8. #82640C2semidirect
9. #82398C2semidirect
10. #77978C2semidirect
11. #77758C2semidirect
12. #77108C2semidirect
13. #77032C2semidirect
14. #76773C2semidirect
15. #76769C2semidirect
16. #76755C2semidirect
17. #76673C2semidirect
18. #76460C2semidirect
19. #76442C2semidirect
20. #75902C2semidirect
21. #75844C2semidirect
22. #75832C2semidirect
23. #75830C2semidirect
24. #74936C2semidirect
25. #74925C2semidirect
26. #74888C2semidirect
27. #74698C2semidirect
28. #74628C2semidirect
29. #74608C2semidirect
30. #73595C2semidirect
31. C4×#882C2semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×#121C22semidirect
40. C2×C3×C4×D4C22semidirect
41. C2×#940C22semidirect
42. C2×#940C22semidirect
45. C2×#939C22semidirect
47. C2×#938C22semidirect
52. C2×#930C22semidirect
53. C2×#930C22semidirect
54. C2×#929C22semidirect
55. C2×#929C22semidirect
57. C2×C4×#67C22semidirect
62. C2×#895C22semidirect
64. C2×#890C22semidirect
68. C2×#884C22semidirect
69. C2×#884C22semidirect
70. C2×#884C22semidirect
71. C2×#883C22semidirect
72. C2×#883C22semidirect
73. C2×#883C22semidirect
81. C2×C4×D12C22semidirect
82. C2×#872C22semidirect
83. C3×#398C22semidirect
84. C3×#394C22semidirect
85. C3×#392C22semidirect
86. C3×#392C22semidirect
87. C3×#390C22semidirect
88. C3×#388C22semidirect
89. C3×#388C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
92. C3×#385C22semidirect
93. C3×C4×C22⋊C4C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5222C22semidirect
101. #5221C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5213C22semidirect
106. #5210C22semidirect
107. #5210C22semidirect
108. #4993C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
118. #4988C22semidirect
120. #4987C22semidirect
121. #4982C22semidirect
122. #4981C22semidirect
123. #4978C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4958C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
152. #4953C22semidirect
153. #4952C22semidirect
154. #4951C22semidirect
155. #4950C22semidirect
156. #4950C22semidirect
157. #4948C22semidirect
158. #4945C22semidirect
159. #4944C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. #4940C22semidirect
162. #4940C22semidirect
163. #4940C22semidirect
165. C4×(C2×D3)⋊C4C22semidirect
166. #4677C22semidirect
167. #4672C22semidirect
168. #4671C22semidirect
169. #4671C22semidirect
173. #4668C22semidirect
175. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. #4664C22semidirect
184. #4664C22semidirect
185. #4660C22semidirect
186. #4657C22semidirect
187. #4655C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
206. #2464D3semidirect
393. #884D4semidirect
445. C2×#123C2×D3semidirect
464. C2×#121C2×D3semidirect
475. C2×C4×D4C2×D3semidirect
488. #398C2×D3semidirect
508. #394C2×D3semidirect
520. #392C2×D3semidirect
521. #392C2×D3semidirect
527. #390C2×D3semidirect
537. #388C2×D3semidirect
538. #388C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
573. #385C2×D3semidirect
588. C4×C22⋊C4C2×D3semidirect
1592. C2×D3#540semidirect
1918. C3#37722semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1212
C2×#55622
C3×#24642
#829052
#828932
#826832
#826592
#826402
#823982
#779782
#777582
#771082
#770322
#767732
#767692
#767552
#766732
#764602
#764422
#759022
#758442
#758322
#758302
#749362
#749252
#748882
#746982
#746282
#746082
#735952
C4×#8822
#377223