Finite Group Databasebeta

← #11098067

Subgroups — #11098067

Order 768.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5653C211yesmaximal, characteristic, complemented
2C2×#5556C211yesmaximal, characteristic, complemented
3C3×#2425C211yesmaximal, characteristic, complemented
4#82903C211yesmaximal, characteristic, complemented
5#82859C211yesmaximal, characteristic, complemented
6#82842C211yesmaximal, characteristic, complemented
7#82708C211yesmaximal, characteristic, complemented
8#82702C211yesmaximal, characteristic, complemented
9#82407C211yesmaximal, characteristic, complemented
10#78007C211yesmaximal, characteristic, complemented
11#77983C211yesmaximal, characteristic, complemented
12#77701C211yesmaximal, characteristic, complemented
13#77564C211yesmaximal, characteristic, complemented
14#77434C211yesmaximal, characteristic, complemented
15#77331C211yesmaximal, characteristic, complemented
16#77160C211yesmaximal, characteristic, complemented
17#77129C211yesmaximal, characteristic, complemented
18#76269C211yesmaximal, characteristic, complemented
19#76249C211yesmaximal, characteristic, complemented
20#75920C211yesmaximal, characteristic, complemented
21#75551C211yesmaximal, characteristic, complemented
22#74917C211yesmaximal, characteristic, complemented
23#74908C211yesmaximal, characteristic, complemented
24#74728C211yesmaximal, characteristic, complemented
25#74686C211yesmaximal, characteristic, complemented
26#74602C211yesmaximal, characteristic, complemented
27#74595C211yesmaximal, characteristic, complemented
28#74019C211yesmaximal, characteristic, complemented
29#73969C211yesmaximal, characteristic, complemented
30#73352C211yesmaximal, characteristic, complemented
31C2×#4672C211yesmaximal, characteristic, complemented
32#40509—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic, complemented
44C2×#935C2211yescharacteristic
45C2×#935C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54C2×#924C2211yescharacteristic, complemented
55C22×Dic3⋊C4C2211yescharacteristic, complemented
56#5653—28no—
57#5556—28no—
58C2×#898C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic
61C2×#895C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×#892C2211yescharacteristic, complemented
65C2×#886C2211yescharacteristic
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#877C2211yescharacteristic, complemented
76C2×#876C2211yescharacteristic, complemented
77C2×#872C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88C2×C3×#95C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96#5211C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4988C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120#4975C2211yescharacteristic, complemented
121#4972C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4955C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4949C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic, complemented
156#4940C2211yescharacteristic, complemented
157#4939C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4666C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4658C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#534—31no—
192#2816—31no—
193#2813—31no—
194#2718—31no—
195#2718—31no—
196#2710—31no—
197#2706—31no—
198#2685—31no—
199#2685—31no—
200#2678—31no—
201#2670—31no—
202#2661—31no—
203#2635—31no—
204#2624—31no—
205#2620—31no—
206#2613—31no—
207#2539—31no—
208#2501—31no—
209#2500—31no—
210#2488—31no—
211#2472—31no—
212#2425D311yescharacteristic, complemented
213#2424—31no—
214#2414—31no—
215#2413—31no—
216#2411—31no—
217#2410—31no—
218#2405—31no—
219C2×#394—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
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
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C22×D12—24no—
246C22×D12—42no—
247C22×D12—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#123—24no—
260C3×#123—42no—
261C3×#121—42no—
262C3×C4×D4—24no—
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#939—42no—
294#937—24no—
295#937—24no—
296#937—42no—
297#937—42no—
298#935—24no—
299#935—42no—
300#930—42no—
301#929—24no—
302#929—24no—
303C4×#67—24no—
304C2×(C2×D3)⋊C4—24no—
305C2×(C2×D3)⋊C4—42no—
306C2×(C2×D3)⋊C4—42no—
307C2×(C2×D3)⋊C4—42no—
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356#924—24no—
357C2×Dic3⋊C4—42no—
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#898—24no—
380#896—24no—
381#895—24no—
382#895—24no—
383#894—24no—
384#894—24no—
385#892—42no—
386#886—42no—
387#885—24no—
388#885—42no—
389#884—24no—
390#884—24no—
391#883—24no—
392#882—24no—
393#882—24no—
394#882—24no—
395D3×C22⋊C4D418yescomplemented
396#877—24no—
397#876—24no—
398#872—24no—
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C23×D4—31no—
424C23×D4—31no—
425#551—68no—
426#534—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123C2×D311yescharacteristic
440C2×#123C2×D311yescharacteristic, complemented
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121C2×D311yescharacteristic
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4C2×D311yescharacteristic, complemented
459C2×#117—31no—
460C2×#117—31no—
461C2×#117—31no—
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#398C2×D311yescharacteristic, complemented
479#397—31no—
480#397—31no—
481#397C2×D311yescharacteristic, complemented
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394C2×D311yescharacteristic, complemented
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#391—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#389—31no—
536#389—31no—
537#389C2×D311yescharacteristic, complemented
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388C2×D311yescharacteristic, complemented
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386C2×D311yescharacteristic
558#386C2×D311yescharacteristic, complemented
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385C2×D311yescharacteristic, complemented
564#384—31no—
565#384—31no—
566#382—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380C2×D311yescharacteristic, complemented
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3C2×D414yes—
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—41no—
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686D3×D4—416no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—416no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×C4×D3—22no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3C2×D414yes—
717C2×C4×D3C2×D414yes—
718C2×Dic6—22no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—41no—
725C3×C4⋊C4—41no—
726C3×C4⋊C4—41no—
727C3×C4⋊C4—41no—
728C3×C4⋊C4—41no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4C2×D414yes—
740C3×C42—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217C2×D414yes—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4C2×D414yes—
793(C2×D3)⋊C4C2×D414yes—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—41no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814C4×Dic3—22no—
815C4×Dic3—22no—
816C4×Dic3—22no—
817C4×Dic3—41no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C25—31no—
823C22×Q8—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—64no—
841C22×D4—64no—
842C22×D4—122no—
843C22×D4—122no—
844C22×D4—122no—
845C22×D4—122no—
846C22×D4C22×D311yescharacteristic
847C22×D4C22×D311yescharacteristic
848C22×D4C22×D311yescharacteristic
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4C22×D311yescharacteristic
855C23×C4C22×D311yescharacteristic
856C23×C4C22×D311yescharacteristic
857C23×C4C22×D311yescharacteristic
858#126—64no—
859#126—64no—
860#124—64no—
861#124—122no—
862#123—24no—
863#123—42no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—64no—
868#123—64no—
869#123—64no—
870#123—122no—
871#123—122no—
872C22⋊Q8—64no—
873C22⋊Q8—64no—
874#121—42no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—64no—
879#121—122no—
880#121—122no—
881#120—64no—
882#120—64no—
883#120—64no—
884#120—64no—
885#120—64no—
886#120—122no—
887#120—122no—
888C4×D4—24no—
889C4×D4—64no—
890#117—64no—
891#117—64no—
892#117—122no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—122no—
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—38no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—64no—
977C2×C22⋊C4—122no—
978C2×C22⋊C4—122no—
979C2×C22⋊C4—122no—
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42C22×D311yescharacteristic
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3C22×D412yes—
1041C23×C3H(5,𝔽2)12yes—
1042C23×C3H(5,𝔽2)12yes—
1043C23×C3C2511yescharacteristic
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—28no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—44no—
1083C22×D3—44no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3C22×D412yes—
1099C22×D3C22×D412yes—
1100C3×D4—44no—
1101C3×D4—44no—
1102C3×D4—82no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—44no—
1138C2×C3×C4—82no—
1139C2×C3×C4—82no—
1140C2×C3×C4—82no—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—82no—
1147#67—82no—
1148#67—82no—
1149#67—82no—
1150#67—82no—
1151#67—82no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—44no—
1183C2×Dic3—44no—
1184C2×Dic3C22×D412yes—
1185C2×Dic3C22×D412yes—
1186C2×Dic3H(5,𝔽2)12yes—
1187D12—44no—
1188D12—44no—
1189D12—44no—
1190D12—44no—
1191D12—44no—
1192D12—82no—
1193D12—82no—
1194C4×D3—44no—
1195C4×D3—44no—
1196C4×D3—44no—
1197Dic6—82no—
1198C24—31no—
1199C24—31no—
1200C24—34no—
1201C24—31no—
1202C24—31no—
1203C24—31no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—62no—
1209C24—62no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24—121no—
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C2×Q8—62no—
1228C2×Q8—121no—
1229C2×Q8—121no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—1216no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—1216no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—34no—
1299C22×C4—34no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—34no—
1372C22⋊C4—34no—
1373C22⋊C4—34no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4D3×D414yes—
1431C42—22no—
1432C42—62no—
1433C42—62no—
1434C42—62no—
1435C42—121no—
1436C42—121no—
1437C42—121no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3#53514yes—
1459C22×C3C23×D411yescharacteristic
1460C22×C3C2×H(5,𝔽2)11yescharacteristic
1461C22×C3C2×H(5,𝔽2)11yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3#58511yescharacteristic
1464C22×C3#58511yescharacteristic
1465C22×C3#58511yescharacteristic
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—88no—
1502C2×D3—88no—
1503C2×D3—88no—
1504C3×C4—22no—
1505C3×C4—22no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516Dic3—22no—
1517Dic3—22no—
1518Dic3—22no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—32no—
1546C23—32no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—68no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—124no—
1582C23—124no—
1583C23—124no—
1584C23—124no—
1585C23—124no—
1586C23—124no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23—242no—
1594C23—242no—
1595C23—242no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23C2×D3×D412yes—
1602C23#100412yes—
1603C23#100912yes—
1604C23C24×D311yescharacteristic
1605Q8—242no—
1606D4—44no—
1607D4—44no—
1608D4—82no—
1609D4—124no—
1610D4—124no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—242no—
1618D4—242no—
1619D4—242no—
1620D4—242no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—32no—
1660C2×C4—32no—
1661C2×C4—32no—
1662C2×C4—44no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—82no—
1694C2×C4—82no—
1695C2×C4—82no—
1696C2×C4—124no—
1697C2×C4—124no—
1698C2×C4—124no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4C2×D3×D412yes—
1702C2×C4C2×D3×D412yes—
1703C2×C3—24no—
1704C2×C3—81no—
1705C2×C3—81no—
1706C2×C3C2×#53511yescharacteristic
1707C2×C3#348511yescharacteristic
1708C2×C3#349611yescharacteristic
1709C2×C3#353311yescharacteristic
1710C2×C3#353411yescharacteristic
1711C2×C3#354211yescharacteristic
1712C2×C3#354511yescharacteristic
1713D3—42no—
1714D3—42no—
1715D3—81no—
1716D3—81no—
1717D3—81no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—62no—
1739C22—62no—
1740C22—62no—
1741C22—62no—
1742C22—62no—
1743C22—62no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—248no—
1774C22—248no—
1775C22—248no—
1776C22#560714yes—
1777C22C22×D3×D411yescharacteristic
1778C22C2×#100411yescharacteristic
1779C22C2×#100911yescharacteristic
1780C22#596411yescharacteristic
1781C22#596411yescharacteristic
1782C22D3×H(5,𝔽2)11yescharacteristic
1783C22#596811yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—62no—
1797C4—62no—
1798C4—62no—
1799C4—121no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C3#4050911yescharacteristic, complemented, Sylow
1808C2—24no—
1809C2—81no—
1810C2—81no—
1811C2—122no—
1812C2—122no—
1813C2—241no—
1814C2—241no—
1815C2—241no—
1816C2C2×#560711yescharacteristic
1817C2#8617311yescharacteristic
1818C2#8645811yescharacteristic
1819C2#8665011yescharacteristic
1820C2#8666511yescharacteristic
1821C2#8670011yescharacteristic
1822C2#8670411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2425C2
hypercenter#2425D3
hypocenterC3#40509
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C2×#5653C2semidirect
2. C2×#5556C2semidirect
3. C3×#2425C2semidirect
4. #82903C2semidirect
5. #82859C2semidirect
6. #82842C2semidirect
7. #82708C2semidirect
8. #82702C2semidirect
9. #82407C2semidirect
10. #78007C2semidirect
11. #77983C2semidirect
12. #77701C2semidirect
13. #77564C2semidirect
14. #77434C2semidirect
15. #77331C2semidirect
16. #77160C2semidirect
17. #77129C2semidirect
18. #76269C2semidirect
19. #76249C2semidirect
20. #75920C2semidirect
21. #75551C2semidirect
22. #74917C2semidirect
23. #74908C2semidirect
24. #74728C2semidirect
25. #74686C2semidirect
26. #74602C2semidirect
27. #74595C2semidirect
28. #74019C2semidirect
29. #73969C2semidirect
30. #73352C2semidirect
31. C2×#4672C2semidirect
36. C2×C3×#123C22semidirect
38. C2×C3×C4×D4C22semidirect
42. C2×#937C22semidirect
43. C2×#937C22semidirect
45. C2×#935C22semidirect
46. C2×#930C22semidirect
48. C2×#929C22semidirect
49. C2×C4×#67C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
54. C2×#924C22semidirect
55. C22×Dic3⋊C4C22semidirect
58. C2×#898C22semidirect
59. C2×#896C22semidirect
64. C2×#892C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
70. C2×#883C22semidirect
75. C2×#877C22semidirect
76. C2×#876C22semidirect
77. C2×#872C22semidirect
78. C3×#398C22semidirect
79. C3×#397C22semidirect
80. C3×#396C22semidirect
81. C3×#394C22semidirect
82. C3×#389C22semidirect
83. C3×#388C22semidirect
85. C3×#386C22semidirect
86. C3×#385C22semidirect
87. C3×#380C22semidirect
88. C2×C3×#95C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
95. #5213C22semidirect
96. #5211C22semidirect
97. C4×#217C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4993C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
113. #4989C22semidirect
114. #4988C22semidirect
115. #4988C22semidirect
116. #4987C22semidirect
117. #4983C22semidirect
118. #4983C22semidirect
119. #4975C22semidirect
120. #4975C22semidirect
121. #4972C22semidirect
122. #4972C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4956C22semidirect
144. #4955C22semidirect
145. #4955C22semidirect
146. #4955C22semidirect
147. #4955C22semidirect
148. #4950C22semidirect
149. #4949C22semidirect
150. #4949C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4944C22semidirect
154. #4944C22semidirect
155. Dic3×C22⋊C4C22semidirect
156. #4940C22semidirect
157. #4939C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4673C22semidirect
161. #4673C22semidirect
166. #4672C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
174. #4670C22semidirect
175. #4670C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4670C22semidirect
180. #4669C22semidirect
181. #4669C22semidirect
182. #4668C22semidirect
183. #4668C22semidirect
184. #4666C22semidirect
185. #4664C22semidirect
186. #4660C22semidirect
187. #4658C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
212. #2425D3semidirect
395. D3×C22⋊C4D4semidirect
440. C2×#123C2×D3semidirect
458. C2×C4×D4C2×D3semidirect
478. #398C2×D3semidirect
481. #397C2×D3semidirect
487. #396C2×D3semidirect
512. #394C2×D3semidirect
537. #389C2×D3semidirect
551. #388C2×D3semidirect
558. #386C2×D3semidirect
563. #385C2×D3semidirect
570. #380C2×D3semidirect
579. C2×#95C2×D3semidirect
1807. C3#40509semidirect

Maximal subgroups

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

subgroupindex
C2×#56532
C2×#55562
C3×#24252
#829032
#828592
#828422
#827082
#827022
#824072
#780072
#779832
#777012
#775642
#774342
#773312
#771602
#771292
#762692
#762492
#759202
#755512
#749172
#749082
#747282
#746862
#746022
#745952
#740192
#739692
#733522
C2×#46722
#405093