Finite Group Databasebeta

← #11098301

Subgroups — #11098301

Order 768.

2574 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5515C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C2×C3×#396C211yesmaximal, characteristic, complemented
4#82199C211yesmaximal, characteristic, complemented
5#82193C211yesmaximal, characteristic, complemented
6#82192C211yesmaximal, characteristic, complemented
7#82177C211yesmaximal, characteristic, complemented
8#82161C211yesmaximal, characteristic, complemented
9#82129C211yesmaximal, characteristic, complemented
10#82127C211yesmaximal, characteristic, complemented
11#82126C211yesmaximal, characteristic, complemented
12#82115C211yesmaximal, characteristic, complemented
13#82111C211yesmaximal, characteristic, complemented
14#77448C211yesmaximal, characteristic, complemented
15#77441C211yesmaximal, characteristic, complemented
16#77436C211yesmaximal, characteristic, complemented
17#77434C211yesmaximal, characteristic, complemented
18#77430C211yesmaximal, characteristic, complemented
19#77429C211yesmaximal, characteristic, complemented
20#77424C211yesmaximal, characteristic, complemented
21#77414C211yesmaximal, characteristic, complemented
22#77402C211yesmaximal, characteristic, complemented
23#77363C211yesmaximal, characteristic, complemented
24#77359C211yesmaximal, characteristic, complemented
25#77355C211yesmaximal, characteristic, complemented
26#77344C211yesmaximal, characteristic, complemented
27#77335C211yesmaximal, characteristic, complemented
28#77331C211yesmaximal, characteristic, complemented
29#77320C211yesmaximal, characteristic, complemented
30#73376C211yesmaximal, characteristic, complemented
31#73352C211yesmaximal, characteristic, complemented
32#40517—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×C3×C4⋊C4C2211yescharacteristic, complemented
36C22×C3×C4⋊C4C2211yescharacteristic, complemented
37C22×C3×C4⋊C4C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic
48C2×#929C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×#929C2211yescharacteristic, complemented
51C2×#929C2211yescharacteristic, complemented
52C2×#929C2211yescharacteristic, complemented
53C2×C4×#67C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic, complemented
55C2×#924C2211yescharacteristic, complemented
56#5515—28no—
57C2×#898C2211yescharacteristic, complemented
58C2×#898C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#895C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×#892C2211yescharacteristic, complemented
65C2×#889C2211yescharacteristic, complemented
66C2×#889C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic
68C2×#885C2211yescharacteristic, complemented
69#5490—28no—
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#883C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×#878C2211yescharacteristic
78C3×#396C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic
81C3×#396C2211yescharacteristic
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C2×C3×#95C2211yescharacteristic, complemented
87#5247C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5212C2211yescharacteristic, complemented
95#5211C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4989C2211yescharacteristic, complemented
120#4988C2211yescharacteristic, complemented
121#4988C2211yescharacteristic, complemented
122#4988C2211yescharacteristic, complemented
123#4987C2211yescharacteristic, complemented
124#4987C2211yescharacteristic, complemented
125#4984C2211yescharacteristic, complemented
126#4981C2211yescharacteristic, complemented
127#4981C2211yescharacteristic, complemented
128#4979C2211yescharacteristic, complemented
129#4979C2211yescharacteristic, complemented
130#4978C2211yescharacteristic, complemented
131#4978C2211yescharacteristic, complemented
132#4977C2211yescharacteristic, complemented
133#4975C2211yescharacteristic, complemented
134#4975C2211yescharacteristic, complemented
135Dic3×C4⋊C4C2211yescharacteristic, complemented
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic
138#4961C2211yescharacteristic
139#4961C2211yescharacteristic
140#4961C2211yescharacteristic, complemented
141#4960C2211yescharacteristic
142#4960C2211yescharacteristic
143#4960C2211yescharacteristic
144#4960C2211yescharacteristic, complemented
145#4959C2211yescharacteristic
146#4959C2211yescharacteristic
147#4959C2211yescharacteristic
148#4959C2211yescharacteristic
149#4959C2211yescharacteristic, complemented
150#4958C2211yescharacteristic
151#4957C2211yescharacteristic
152#4957C2211yescharacteristic
153#4957C2211yescharacteristic
154#4957C2211yescharacteristic, complemented
155#4957C2211yescharacteristic, complemented
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic, complemented
158#4955C2211yescharacteristic
159#4955C2211yescharacteristic
160#4955C2211yescharacteristic
161#4952C2211yescharacteristic, complemented
162#4951C2211yescharacteristic, complemented
163#4950C2211yescharacteristic
164#4949C2211yescharacteristic
165#4949C2211yescharacteristic, complemented
166#4948C2211yescharacteristic
167#4948C2211yescharacteristic, complemented
168#4947C2211yescharacteristic
169#4946C2211yescharacteristic
170#4946C2211yescharacteristic
171#4944C2211yescharacteristic
172#4944C2211yescharacteristic
173#4944C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4673C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4671C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4660C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#539—31no—
192#2820—31no—
193#2813—31no—
194#2720—31no—
195#2718—31no—
196#2711—31no—
197#2706—31no—
198#2692—31no—
199#2685—31no—
200#2678—31no—
201#2676—31no—
202#2662—31no—
203#2636—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2566—31no—
208#2539—31no—
209#2534—31no—
210#2501—31no—
211#2488—31no—
212#2472—31no—
213#2430—31no—
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2406—31no—
218#2405—31no—
219C2×#396D311yescharacteristic, complemented
220#2352—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67—24no—
230C22×#67—42no—
231C22×#67—42no—
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#235—24no—
244C2×#235—42no—
245C2×#235—42no—
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C2×C3×C4⋊C4—24no—
258C2×C3×C4⋊C4—42no—
259C2×C3×C4⋊C4—42no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4—24no—
273C2×C3×C22⋊C4—42no—
274C2×C3×C22⋊C4—42no—
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287#953—24no—
288#953—42no—
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#930—24no—
302#930—24no—
303#930—42no—
304#930—42no—
305#929—24no—
306#929—24no—
307#929—24no—
308#929—42no—
309#929—42no—
310#929—42no—
311C4×#67—24no—
312C4×#67D418yescomplemented
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354#924—24no—
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377#898—24no—
378#898—24no—
379#896—24no—
380#896—24no—
381#895—42no—
382#894—24no—
383#894—24no—
384#892—42no—
385#889—24no—
386#889—24no—
387#885—24no—
388#885—42no—
389#884—24no—
390#884—24no—
391#883—24no—
392#882—24no—
393#882—42no—
394#67⋊C4—24no—
395D3×C22⋊C4—24no—
396#878—24no—
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#539—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#125—31no—
430C2×#125—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×#117—31no—
461C22×C4⋊C4C2×D311yescharacteristic, complemented
462C22×C4⋊C4C2×D311yescharacteristic, complemented
463C22×C4⋊C4C2×D311yescharacteristic, complemented
464C22×C22⋊C4—31no—
465C22×C22⋊C4C2×D311yescharacteristic
466C22×C22⋊C4C2×D311yescharacteristic
467C22×C22⋊C4C2×D311yescharacteristic
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#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396C2×D311yescharacteristic
489#396C2×D311yescharacteristic
490#396C2×D311yescharacteristic
491#396C2×D311yescharacteristic
492#396C2×D311yescharacteristic, complemented
493#396C2×D311yescharacteristic, complemented
494#396C2×D311yescharacteristic, complemented
495#396C2×D311yescharacteristic, complemented
496#395—31no—
497#395—31no—
498#395—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#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#393—31no—
517#393—31no—
518#393—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#389—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#387—31no—
543#387—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#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#384—31no—
565#384—31no—
566#382—31no—
567#382—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4C2×D414yes—
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—416no—
661C2×#67C2×D414yes—
662C22×Dic3—22no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677#235—416no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3C2×D414yes—
705C2×Dic6—22no—
706C2×Dic6—22no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C4⋊C4—41no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217C2×D414yes—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
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—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—41no—
785C4⋊Dic3—41no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4C2×D414yes—
804C4×Dic3—22no—
805C4×Dic3—22no—
806C4×Dic3—41no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3C2×D414yes—
810C25—31no—
811C25C22×D311yescharacteristic
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C22×Q8—31no—
816C22×Q8—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—64no—
833C22×D4—122no—
834C22×D4—122no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4C22×D311yescharacteristic
841C23×C4C22×D311yescharacteristic
842C23×C4C22×D311yescharacteristic
843C23×C4C22×D311yescharacteristic
844C23×C4C22×D311yescharacteristic
845C23×C4C22×D311yescharacteristic
846#126—64no—
847#126—64no—
848#125—64no—
849#125—64no—
850#124—64no—
851#124—122no—
852#123—64no—
853#123—64no—
854#123—64no—
855#123—64no—
856#123—64no—
857#123—64no—
858#123—122no—
859#123—122no—
860#123—122no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—64no—
865#121—64no—
866#121—64no—
867#121—64no—
868#121—64no—
869#121—122no—
870#121—122no—
871#121—122no—
872#120—64no—
873#120—64no—
874#120—122no—
875#120—122no—
876C4×D4—38no—
877C4×D4—64no—
878C4×D4—64no—
879#117—122no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
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—42no—
905C2×C4⋊C4—42no—
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C22⋊C4—24no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—42no—
966C2×C22⋊C4—42no—
967C2×C22⋊C4—64no—
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42—31no—
984C2×C42—31no—
985C2×C42—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
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#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—44no—
1030C23×C3—44no—
1031C23×C3—44no—
1032C23×C3—44no—
1033C23×C3—82no—
1034C23×C3—82no—
1035C23×C3—82no—
1036C23×C3C22×D412yes—
1037C23×C3H(5,𝔽2)12yes—
1038C23×C3H(5,𝔽2)12yes—
1039C23×C32−1+412yes—
1040C23×C3C2511yescharacteristic
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
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—21no—
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—44no—
1069C22×D3—44no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3—82no—
1073C22×D3—82no—
1074C22×D3—82no—
1075C22×D3C22×D412yes—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—44no—
1110C2×C3×C4—44no—
1111C2×C3×C4—44no—
1112C2×C3×C4—44no—
1113C2×C3×C4—82no—
1114C2×C3×C4—82no—
1115C2×C3×C4C22×D412yes—
1116C2×C3×C4C22×D412yes—
1117C2×C3×C4H(5,𝔽2)12yes—
1118#67—28no—
1119#67—44no—
1120#67—44no—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—44no—
1125#67—82no—
1126#67—82no—
1127#67—82no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—44no—
1162C2×Dic3C22×D412yes—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C22×D412yes—
1165D12—44no—
1166D12—82no—
1167D12—82no—
1168D12—82no—
1169D12—82no—
1170C4×D3—44no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—82no—
1174Dic6—44no—
1175Dic6—82no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—31no—
1181C24—31no—
1182C24—31no—
1183C24—31no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—62no—
1188C24—62no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24C23×D311yescharacteristic
1195C24C23×D311yescharacteristic
1196C24C23×D311yescharacteristic
1197#41—1216no—
1198C2×Q8—62no—
1199C2×Q8—62no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×Q8—121no—
1203C2×Q8—121no—
1204C2×D4—34no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—1216no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—34no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4D3×D414yes—
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C22×C4C23×D311yescharacteristic
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—34no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—34no—
1349C22⋊C4—34no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C42—34no—
1401C42—62no—
1402C42—62no—
1403C42—121no—
1404C42—121no—
1405C42—121no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—88no—
1427C22×C3#53514yes—
1428C22×C3C23×D411yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3C2×H(5,𝔽2)11yescharacteristic
1432C22×C3C2×2−1+411yescharacteristic
1433C22×C3#58511yescharacteristic
1434C22×C3#58511yescharacteristic
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—88no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—22no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476Dic3—22no—
1477Dic3—22no—
1478Dic3—22no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—32no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—124no—
1541C23—124no—
1542C23—242no—
1543C23—242no—
1544C23—242no—
1545C23—242no—
1546C23—242no—
1547C23C2×D3×D412yes—
1548C23#100412yes—
1549C23#100712yes—
1550C23#100912yes—
1551C23C24×D311yescharacteristic
1552Q8—124no—
1553Q8—242no—
1554D4—68no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—124no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565D4—242no—
1566D4—242no—
1567D4—242no—
1568D4—242no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—32no—
1603C2×C4—32no—
1604C2×C4—32no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—82no—
1643C2×C4—82no—
1644C2×C4—124no—
1645C2×C4—124no—
1646C2×C4—124no—
1647C2×C4—124no—
1648C2×C4—242no—
1649C2×C4C2×D3×D412yes—
1650C2×C4C2×D3×D412yes—
1651C2×C4#100412yes—
1652C2×C3—24no—
1653C2×C3—42no—
1654C2×C3—81no—
1655C2×C3C2×#53511yescharacteristic
1656C2×C3#348911yescharacteristic
1657C2×C3#349611yescharacteristic
1658C2×C3#353411yescharacteristic
1659C2×C3#353511yescharacteristic
1660C2×C3#353611yescharacteristic
1661C2×C3#356011yescharacteristic
1662D3—42no—
1663D3—81no—
1664D3—81no—
1665D3—81no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—62no—
1687C22—62no—
1688C22—62no—
1689C22—88no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—248no—
1716C22#560714yes—
1717C22C22×D3×D411yescharacteristic
1718C22C2×#100411yescharacteristic
1719C22C2×#100411yescharacteristic
1720C22C2×#100711yescharacteristic
1721C22C2×#100911yescharacteristic
1722C22#596411yescharacteristic
1723C22#596411yescharacteristic
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—62no—
1737C4—62no—
1738C4—62no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C3#4051711yescharacteristic, complemented, Sylow
1749C2—24no—
1750C2—42no—
1751C2—81no—
1752C2—122no—
1753C2—241no—
1754C2—241no—
1755C2—241no—
1756C2C2×#560711yescharacteristic
1757C2#8595011yescharacteristic
1758C2#8595411yescharacteristic
1759C2#8598511yescharacteristic
1760C2#8598911yescharacteristic
1761C2#8599011yescharacteristic
1762C2#8611811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#396C2
hypercenterC2×#396D3
hypocenterC3#40517
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#396

Complements

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

NH ≅ G/Ntype
1. C2×#5515C2semidirect
2. C2×#5490C2semidirect
3. C2×C3×#396C2semidirect
4. #82199C2semidirect
5. #82193C2semidirect
6. #82192C2semidirect
7. #82177C2semidirect
8. #82161C2semidirect
9. #82129C2semidirect
10. #82127C2semidirect
11. #82126C2semidirect
12. #82115C2semidirect
13. #82111C2semidirect
14. #77448C2semidirect
15. #77441C2semidirect
16. #77436C2semidirect
17. #77434C2semidirect
18. #77430C2semidirect
19. #77429C2semidirect
20. #77424C2semidirect
21. #77414C2semidirect
22. #77402C2semidirect
23. #77363C2semidirect
24. #77359C2semidirect
25. #77355C2semidirect
26. #77344C2semidirect
27. #77335C2semidirect
28. #77331C2semidirect
29. #77320C2semidirect
30. #73376C2semidirect
31. #73352C2semidirect
35. C22×C3×C4⋊C4C22semidirect
36. C22×C3×C4⋊C4C22semidirect
37. C22×C3×C4⋊C4C22semidirect
46. C2×#930C22semidirect
50. C2×#929C22semidirect
51. C2×#929C22semidirect
52. C2×#929C22semidirect
54. C2×C4×#67C22semidirect
55. C2×#924C22semidirect
57. C2×#898C22semidirect
58. C2×#898C22semidirect
59. C2×#896C22semidirect
60. C2×#896C22semidirect
61. C2×#895C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
64. C2×#892C22semidirect
65. C2×#889C22semidirect
66. C2×#889C22semidirect
68. C2×#885C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
84. C3×#396C22semidirect
85. C3×#396C22semidirect
86. C2×C3×#95C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5212C22semidirect
95. #5211C22semidirect
96. C4×#217C22semidirect
97. C4×#217C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4993C22semidirect
107. #4993C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4990C22semidirect
115. #4990C22semidirect
116. #4989C22semidirect
117. #4989C22semidirect
118. #4989C22semidirect
119. #4989C22semidirect
120. #4988C22semidirect
121. #4988C22semidirect
122. #4988C22semidirect
123. #4987C22semidirect
124. #4987C22semidirect
125. #4984C22semidirect
126. #4981C22semidirect
127. #4981C22semidirect
128. #4979C22semidirect
129. #4979C22semidirect
130. #4978C22semidirect
131. #4978C22semidirect
132. #4977C22semidirect
133. #4975C22semidirect
134. #4975C22semidirect
135. Dic3×C4⋊C4C22semidirect
140. #4961C22semidirect
144. #4960C22semidirect
149. #4959C22semidirect
154. #4957C22semidirect
155. #4957C22semidirect
157. #4956C22semidirect
161. #4952C22semidirect
162. #4951C22semidirect
165. #4949C22semidirect
167. #4948C22semidirect
173. #4944C22semidirect
174. #4675C22semidirect
175. #4673C22semidirect
176. #4673C22semidirect
177. #4672C22semidirect
178. #4671C22semidirect
179. #4670C22semidirect
180. #4669C22semidirect
181. #4668C22semidirect
182. #4668C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4660C22semidirect
186. #4658C22semidirect
187. #4656C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
219. C2×#396D3semidirect
312. C4×#67D4semidirect
461. C22×C4⋊C4C2×D3semidirect
462. C22×C4⋊C4C2×D3semidirect
463. C22×C4⋊C4C2×D3semidirect
492. #396C2×D3semidirect
493. #396C2×D3semidirect
494. #396C2×D3semidirect
495. #396C2×D3semidirect
579. C2×#95C2×D3semidirect
1748. C3#40517semidirect

Maximal subgroups

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

subgroupindex
C2×#55152
C2×#54902
C2×C3×#3962
#821992
#821932
#821922
#821772
#821612
#821292
#821272
#821262
#821152
#821112
#774482
#774412
#774362
#774342
#774302
#774292
#774242
#774142
#774022
#773632
#773592
#773552
#773442
#773352
#773312
#773202
#733762
#733522
#405173