Finite Group Databasebeta

← #11025540

Subgroups — #11025540

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×#5562C211yesmaximal, characteristic, complemented
2C22×#884C211yesmaximal, characteristic, complemented
3C3×#2358C211yesmaximal, characteristic, complemented
4#82605C211yesmaximal, characteristic, complemented
5#82588C211yesmaximal, characteristic, complemented
6#82413C211yesmaximal, characteristic, complemented
7#82403C211yesmaximal, characteristic, complemented
8#82356C211yesmaximal, characteristic, complemented
9#82128C211yesmaximal, characteristic, complemented
10#82127C211yesmaximal, characteristic, complemented
11#82126C211yesmaximal, characteristic, complemented
12#76460C211yesmaximal, characteristic, complemented
13#76444C211yesmaximal, characteristic, complemented
14#75924C211yesmaximal, characteristic, complemented
15#75902C211yesmaximal, characteristic, complemented
16#75862C211yesmaximal, characteristic, complemented
17#75691C211yesmaximal, characteristic, complemented
18#74936C211yesmaximal, characteristic, complemented
19#74923C211yesmaximal, characteristic, complemented
20#74915C211yesmaximal, characteristic, complemented
21#74913C211yesmaximal, characteristic, complemented
22#74893C211yesmaximal, characteristic, complemented
23#74791C211yesmaximal, characteristic, complemented
24#74636C211yesmaximal, characteristic, complemented
25#74627C211yesmaximal, characteristic, complemented
26#74601C211yesmaximal, characteristic, complemented
27#74443C211yesmaximal, characteristic, complemented
28#73591C211yesmaximal, characteristic, complemented
29#73574C211yesmaximal, characteristic, complemented
30#73570C211yesmaximal, characteristic, complemented
31C4×#882C211yesmaximal, characteristic, complemented
32#37722—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic, complemented
40C22×C3×C22⋊C4C2211yescharacteristic
41C22×C3×C22⋊C4C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#940C2211yescharacteristic, complemented
44C2×#940C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic, complemented
47C2×#938C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C2×#930C2211yescharacteristic, complemented
52C2×#930C2211yescharacteristic, complemented
53C2×#930C2211yescharacteristic, complemented
54C2×#929C2211yescharacteristic, complemented
55C2×#929C2211yescharacteristic, complemented
56C2×#929C2211yescharacteristic, complemented
57C2×C4×#67C2211yescharacteristic
58C22×(C2×D3)⋊C4C2211yescharacteristic
59C22×Dic3⋊C4C2211yescharacteristic
60#5562—28no—
61C2×#895C2211yescharacteristic, complemented
62C2×#895C2211yescharacteristic, complemented
63C2×#890C2211yescharacteristic, complemented
64C2×#884—28no—
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#884C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic, complemented
75C2×#883C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×C4×D12C2211yescharacteristic, complemented
81C2×C4×D12C2211yescharacteristic, complemented
82C2×#872C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic
90C3×#385C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93#5247C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5220C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5212C2211yescharacteristic
105#5210C2211yescharacteristic
106#5210C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4972C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4952C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4950C2211yescharacteristic
151#4950C2211yescharacteristic
152#4949C2211yescharacteristic, complemented
153#4946C2211yescharacteristic
154#4946C2211yescharacteristic
155#4945C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4939C2211yescharacteristic, complemented
161#4939C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165#4933C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4671C2211yescharacteristic, complemented
169#4671C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4660C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4654C2211yescharacteristic, 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#2464—31no—
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#2358D311yescharacteristic, complemented
218#2342—31no—
219#2333—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67—24no—
233C22×#67—24no—
234C22×#67—42no—
235C22×#67—42no—
236C22×#67—42no—
237C22×#67—42no—
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C22×D12—24no—
257C22×D12—42no—
258C22×D12—42no—
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×C4×D3—24no—
268C22×C4×D3—42no—
269C22×C4×D3—42no—
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C3×#120—24no—
278C3×C4×D4—24no—
279C3×C4×D4—42no—
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4—24no—
284C2×C3×C22⋊C4—42no—
285C2×C3×C22⋊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×C3×C42C2311yescharacteristic
302#953—42no—
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315#940—24no—
316#940—42no—
317#939—42no—
318#938—24no—
319#938—42no—
320#937—42no—
321#937—42no—
322#930—24no—
323#930—24no—
324#930—42no—
325#930—42no—
326#929—24no—
327#929—24no—
328#929—42no—
329C4×#67—42no—
330C2×(C2×D3)⋊C4—24no—
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(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×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385#895—24no—
386#895—42no—
387#890—24no—
388#884—24no—
389#884—24no—
390#884—24no—
391#884—24no—
392#884—24no—
393#884—24no—
394#884—24no—
395#884—24no—
396#884D418yescomplemented
397#883—24no—
398#883—24no—
399#883—42no—
400#882—24no—
401#882—42no—
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×#123—31no—
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—31no—
463C2×#121—31no—
464C2×#121—68no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120C2×D311yescharacteristic
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4C2×D311yescharacteristic
475C2×C4×D4C2×D311yescharacteristic, complemented
476C2×#117—31no—
477C22×C4⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4C2×D311yescharacteristic
481C22×C22⋊C4C2×D311yescharacteristic
482#400—31no—
483#399—31no—
484#399—31no—
485#398—31no—
486#398—31no—
487#398—31no—
488#398—31no—
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#394—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
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#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic
588C4×C22⋊C4C2×D311yescharacteristic, complemented
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—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—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
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—41no—
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—416no—
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×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—416no—
702C2×#67C2×D414yes—
703C2×#67C2×D414yes—
704C22×Dic3—22no—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—22no—
709C22×Dic3—41no—
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
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×D12—416no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12C2×D414yes—
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—41no—
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—416no—
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—41no—
770C3×C4⋊C4—41no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
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—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4C2×D414yes—
784C3×C22⋊C4#4114yes—
785C3×C42—22no—
786C3×C42—41no—
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(C2×D3)⋊C4—22no—
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—41no—
816(C2×D3)⋊C4—41no—
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—
832C4⋊Dic3—22no—
833C4⋊Dic3—22no—
834C4⋊Dic3—22no—
835C4⋊Dic3—22no—
836C4⋊Dic3—22no—
837C4⋊Dic3—41no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4C2×D414yes—
850C4×Dic3—22no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C25—31no—
854C25—31no—
855C25C22×D311yescharacteristic
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—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—122no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
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—64no—
902C23×C4—122no—
903C23×C4—122no—
904C23×C4C22×D311yescharacteristic
905C23×C4C22×D311yescharacteristic
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909#127—64no—
910#127—122no—
911#125—64no—
912#123—64no—
913#123—64no—
914#123—64no—
915#123—64no—
916#123—122no—
917#123—122no—
918#121—38no—
919#121—64no—
920#121—64no—
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—122no—
932#121—122no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—24no—
937#120—64no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—24no—
943C4×D4—42no—
944C4×D4—64no—
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—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—64no—
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C22⋊C4—24no—
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—42no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
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—44no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—82no—
1093C23×C3—82no—
1094C23×C3—82no—
1095C23×C3C22×D412yes—
1096C23×C3C2×#4112yes—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C3C2511yescharacteristic
1100C22×D3—28no—
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—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3C22×D412yes—
1147C22×D3C22×D412yes—
1148C22×D3H(5,𝔽2)12yes—
1149C3×D4—44no—
1150C3×D4—44no—
1151C3×D4—82no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
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—44no—
1182C2×C3×C4—44no—
1183C2×C3×C4—82no—
1184C2×C3×C4—82no—
1185C2×C3×C4—82no—
1186C2×C3×C4C22×D412yes—
1187C2×C3×C4C22×D412yes—
1188C2×C3×C4C2×#4112yes—
1189C2×C3×C4C2×#4112yes—
1190#67—44no—
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—
1205#67—82no—
1206C2×Dic3—28no—
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—21no—
1236C2×Dic3—21no—
1237C2×Dic3—44no—
1238C2×Dic3C22×D412yes—
1239C2×Dic3C22×D412yes—
1240C2×Dic3H(5,𝔽2)12yes—
1241D12—44no—
1242D12—44no—
1243D12—44no—
1244D12—44no—
1245D12—44no—
1246D12—44no—
1247D12—82no—
1248D12—82no—
1249C4×D3—44no—
1250C4×D3—44no—
1251C4×D3—44no—
1252C4×D3—44no—
1253C4×D3—44no—
1254C4×D3—82no—
1255C4×D3—82no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—31no—
1261C24—31no—
1262C24—31no—
1263C24—31no—
1264C24—31no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
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—34no—
1293C2×D4—34no—
1294C2×D4—34no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
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—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—1216no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
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—1216no—
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—121no—
1369C2×D4—1216no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—34no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
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—62no—
1408C22×C4—62no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—1216no—
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—34no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—62no—
1440C4⋊C4—62no—
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—121no—
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—22no—
1464C22⋊C4—34no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—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—121no—
1491C22⋊C4—121no—
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#23514yes—
1513C22⋊C4D3×D414yes—
1514C42—22no—
1515C42—41no—
1516C42—41no—
1517C42—62no—
1518C42—121no—
1519C42—121no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—22no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
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—88no—
1548C22×C3#54014yescomplemented
1549C22×C3C23×D411yescharacteristic
1550C22×C3C22×#4111yescharacteristic
1551C22×C3C2×H(5,𝔽2)11yescharacteristic
1552C22×C3C2×H(5,𝔽2)11yescharacteristic
1553C22×C3C2×H(5,𝔽2)11yescharacteristic
1554C22×C3C2×H(5,𝔽2)11yescharacteristic
1555C22×C3#58511yescharacteristic
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—416no—
1566C2×D3—41no—
1567C2×D3—41no—
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—41no—
1591C2×D3—41no—
1592C2×D3—88no—
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—32no—
1640C23—32no—
1641C23—32no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
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—61no—
1678C23—61no—
1679C23—82no—
1680C23—82no—
1681C23—82no—
1682C23—124no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23C2×#23512yes—
1696C23C2×D3×D412yes—
1697C23#100412yes—
1698C23#100912yes—
1699C23C24×D311yescharacteristic
1700D4—44no—
1701D4—44no—
1702D4—82no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
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—242no—
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—44no—
1761C2×C4—68no—
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—61no—
1792C2×C4—82no—
1793C2×C4—82no—
1794C2×C4—82no—
1795C2×C4—124no—
1796C2×C4—124no—
1797C2×C4—124no—
1798C2×C4—124no—
1799C2×C4—124no—
1800C2×C4—124no—
1801C2×C4—242no—
1802C2×C4—242no—
1803C2×C4C2×#23512yes—
1804C2×C4C2×#23512yes—
1805C2×C4C2×D3×D412yes—
1806C2×C4C2×D3×D412yes—
1807C2×C3—24no—
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—42no—
1819D3—42no—
1820D3—42no—
1821D3—81no—
1822D3—81no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
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—62no—
1851C22—62no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
1857C22—62no—
1858C22—62no—
1859C22—88no—
1860C22—1216no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
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#556214yescomplemented
1889C22C22×#23511yescharacteristic
1890C22C22×D3×D411yescharacteristic
1891C22C2×#100411yescharacteristic
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—24no—
1920C2—42no—
1921C2—81no—
1922C2—81no—
1923C2—122no—
1924C2—122no—
1925C2—122no—
1926C2—241no—
1927C2—241no—
1928C2C2×#556211yescharacteristic
1929C2D4×#23511yescharacteristic
1930C2#8587111yescharacteristic
1931C2#8662011yescharacteristic
1932C2#8665011yescharacteristic
1933C2#8666211yescharacteristic
1934C2#8680111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2358C2
hypercenter#2358D3
hypocenterC3#37722
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
1. C2×#5562C2semidirect
2. C22×#884C2semidirect
3. C3×#2358C2semidirect
4. #82605C2semidirect
5. #82588C2semidirect
6. #82413C2semidirect
7. #82403C2semidirect
8. #82356C2semidirect
9. #82128C2semidirect
10. #82127C2semidirect
11. #82126C2semidirect
12. #76460C2semidirect
13. #76444C2semidirect
14. #75924C2semidirect
15. #75902C2semidirect
16. #75862C2semidirect
17. #75691C2semidirect
18. #74936C2semidirect
19. #74923C2semidirect
20. #74915C2semidirect
21. #74913C2semidirect
22. #74893C2semidirect
23. #74791C2semidirect
24. #74636C2semidirect
25. #74627C2semidirect
26. #74601C2semidirect
27. #74443C2semidirect
28. #73591C2semidirect
29. #73574C2semidirect
30. #73570C2semidirect
31. C4×#882C2semidirect
39. C2×C3×C4×D4C22semidirect
43. C2×#940C22semidirect
44. C2×#940C22semidirect
46. C2×#938C22semidirect
47. C2×#938C22semidirect
50. C2×#930C22semidirect
51. C2×#930C22semidirect
52. C2×#930C22semidirect
53. C2×#930C22semidirect
54. C2×#929C22semidirect
55. C2×#929C22semidirect
56. C2×#929C22semidirect
61. C2×#895C22semidirect
62. C2×#895C22semidirect
63. C2×#890C22semidirect
73. C2×#884C22semidirect
74. C2×#883C22semidirect
75. C2×#883C22semidirect
76. C2×#883C22semidirect
80. C2×C4×D12C22semidirect
81. C2×C4×D12C22semidirect
82. C2×#872C22semidirect
83. C3×#390C22semidirect
84. C3×#388C22semidirect
85. C3×#388C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
90. C3×#385C22semidirect
92. C3×C4×C22⋊C4C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
106. #5210C22semidirect
107. #4993C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4983C22semidirect
113. #4982C22semidirect
114. #4982C22semidirect
115. #4972C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
147. #4952C22semidirect
148. #4952C22semidirect
149. #4951C22semidirect
152. #4949C22semidirect
155. #4945C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4939C22semidirect
161. #4939C22semidirect
162. C4×(C2×D3)⋊C4C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. #4933C22semidirect
166. #4676C22semidirect
167. #4672C22semidirect
168. #4671C22semidirect
169. #4671C22semidirect
170. #4669C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4667C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. #4661C22semidirect
187. #4660C22semidirect
188. #4655C22semidirect
189. #4654C22semidirect
217. #2358D3semidirect
396. #884D4semidirect
475. C2×C4×D4C2×D3semidirect
527. #390C2×D3semidirect
537. #388C2×D3semidirect
538. #388C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
573. #385C2×D3semidirect
588. C4×C22⋊C4C2×D3semidirect
1548. C22×C3#540semidirect
1888. C22#5562semidirect
1918. C3#37722semidirect

Maximal subgroups

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

subgroupindex
C2×#55622
C22×#8842
C3×#23582
#826052
#825882
#824132
#824032
#823562
#821282
#821272
#821262
#764602
#764442
#759242
#759022
#758622
#756912
#749362
#749232
#749152
#749132
#748932
#747912
#746362
#746272
#746012
#744432
#735912
#735742
#735702
C4×#8822
#377223